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Finding the Fourth Proportional to 46,040.54, 69,112.02 and 23,847.98

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Solution

The fourth proportional to 46,040.54, 69,112.02 and 23,847.98 is: 35,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,040.54 : 69,112.02 = 23,847.98 : x
  2. Step 2: Convert to fraction form
    46,040.54/69,112.02 = 23,847.98/x
  3. Step 3: Cross multiply
    46,040.54x = 69,112.02 × 23,847.98
  4. Step 4: Simplify right side
    46,040.54x = 1,648,182,070.72
  5. Step 5: Solve for x
    x = 1,648,182,070.72/46,040.54
  6. Step 6: Final answer
    x = 35,798.50

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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.