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Finding the Fourth Proportional to 61,565.49, 92,353.47 and 19,434.30

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Solution

The fourth proportional to 61,565.49, 92,353.47 and 19,434.30 is: 29,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,565.49 : 92,353.47 = 19,434.30 : x
  2. Step 2: Convert to fraction form
    61,565.49/92,353.47 = 19,434.30/x
  3. Step 3: Cross multiply
    61,565.49x = 92,353.47 × 19,434.30
  4. Step 4: Simplify right side
    61,565.49x = 1,794,825,114.90
  5. Step 5: Solve for x
    x = 1,794,825,114.90/61,565.49
  6. Step 6: Final answer
    x = 29,153.10

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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.