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Finding the Fourth Proportional to 61,591.13, 92,343.70 and 31,547.02

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Solution

The fourth proportional to 61,591.13, 92,343.70 and 31,547.02 is: 47,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,591.13 : 92,343.70 = 31,547.02 : x
  2. Step 2: Convert to fraction form
    61,591.13/92,343.70 = 31,547.02/x
  3. Step 3: Cross multiply
    61,591.13x = 92,343.70 × 31,547.02
  4. Step 4: Simplify right side
    61,591.13x = 2,913,168,355.04
  5. Step 5: Solve for x
    x = 2,913,168,355.04/61,591.13
  6. Step 6: Final answer
    x = 47,298.50

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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.