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Finding the Fourth Proportional to 42,397.66, 58,492.05 and 24,489.16

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Solution

The fourth proportional to 42,397.66, 58,492.05 and 24,489.16 is: 33,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,397.66 : 58,492.05 = 24,489.16 : x
  2. Step 2: Convert to fraction form
    42,397.66/58,492.05 = 24,489.16/x
  3. Step 3: Cross multiply
    42,397.66x = 58,492.05 × 24,489.16
  4. Step 4: Simplify right side
    42,397.66x = 1,432,421,171.18
  5. Step 5: Solve for x
    x = 1,432,421,171.18/42,397.66
  6. Step 6: Final answer
    x = 33,785.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.