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Finding the Fourth Proportional to 61,547.92, 92,320 and 24,097.44

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Solution

The fourth proportional to 61,547.92, 92,320 and 24,097.44 is: 36,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,547.92 : 92,320 = 24,097.44 : x
  2. Step 2: Convert to fraction form
    61,547.92/92,320 = 24,097.44/x
  3. Step 3: Cross multiply
    61,547.92x = 92,320 × 24,097.44
  4. Step 4: Simplify right side
    61,547.92x = 2,224,675,660.80
  5. Step 5: Solve for x
    x = 2,224,675,660.80/61,547.92
  6. Step 6: Final answer
    x = 36,145.42

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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.