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Finding the Fourth Proportional to 31,197.78, 46,798.71 and 11,205.18

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Solution

The fourth proportional to 31,197.78, 46,798.71 and 11,205.18 is: 16,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197.78 : 46,798.71 = 11,205.18 : x
  2. Step 2: Convert to fraction form
    31,197.78/46,798.71 = 11,205.18/x
  3. Step 3: Cross multiply
    31,197.78x = 46,798.71 × 11,205.18
  4. Step 4: Simplify right side
    31,197.78x = 524,387,969.32
  5. Step 5: Solve for x
    x = 524,387,969.32/31,197.78
  6. Step 6: Final answer
    x = 16,808.50

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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.