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Finding the Fourth Proportional to 61,711.36, 92,584.32 and 24,801.28

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Solution

The fourth proportional to 61,711.36, 92,584.32 and 24,801.28 is: 37,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,711.36 : 92,584.32 = 24,801.28 : x
  2. Step 2: Convert to fraction form
    61,711.36/92,584.32 = 24,801.28/x
  3. Step 3: Cross multiply
    61,711.36x = 92,584.32 × 24,801.28
  4. Step 4: Simplify right side
    61,711.36x = 2,296,209,643.93
  5. Step 5: Solve for x
    x = 2,296,209,643.93/61,711.36
  6. Step 6: Final answer
    x = 37,208.86

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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.