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Finding the Fourth Proportional to 61,531.86, 92,299.77 and 19,412.34

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Solution

The fourth proportional to 61,531.86, 92,299.77 and 19,412.34 is: 29,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,531.86 : 92,299.77 = 19,412.34 : x
  2. Step 2: Convert to fraction form
    61,531.86/92,299.77 = 19,412.34/x
  3. Step 3: Cross multiply
    61,531.86x = 92,299.77 × 19,412.34
  4. Step 4: Simplify right side
    61,531.86x = 1,791,754,517.16
  5. Step 5: Solve for x
    x = 1,791,754,517.16/61,531.86
  6. Step 6: Final answer
    x = 29,119.13

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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.