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Finding the Fourth Proportional to 38,842.92, 58,264.41 and 16,641.90

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Solution

The fourth proportional to 38,842.92, 58,264.41 and 16,641.90 is: 24,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.92 : 58,264.41 = 16,641.90 : x
  2. Step 2: Convert to fraction form
    38,842.92/58,264.41 = 16,641.90/x
  3. Step 3: Cross multiply
    38,842.92x = 58,264.41 × 16,641.90
  4. Step 4: Simplify right side
    38,842.92x = 969,630,547.19
  5. Step 5: Solve for x
    x = 969,630,547.19/38,842.92
  6. Step 6: Final answer
    x = 24,962.86

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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.