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Finding the Fourth Proportional to 31,254,804.63, 46,883,978.64 and 9,692,471.79

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Solution

The fourth proportional to 31,254,804.63, 46,883,978.64 and 9,692,471.79 is: 14,539,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254,804.63 : 46,883,978.64 = 9,692,471.79 : x
  2. Step 2: Convert to fraction form
    31,254,804.63/46,883,978.64 = 9,692,471.79/x
  3. Step 3: Cross multiply
    31,254,804.63x = 46,883,978.64 × 9,692,471.79
  4. Step 4: Simplify right side
    31,254,804.63x = 454,421,640,371,162.50
  5. Step 5: Solve for x
    x = 454,421,640,371,162.50/31,254,804.63
  6. Step 6: Final answer
    x = 14,539,257.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.