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Finding the Fourth Proportional to 45,042.16, 62,156.22 and 24,898

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Solution

The fourth proportional to 45,042.16, 62,156.22 and 24,898 is: 34,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042.16 : 62,156.22 = 24,898 : x
  2. Step 2: Convert to fraction form
    45,042.16/62,156.22 = 24,898/x
  3. Step 3: Cross multiply
    45,042.16x = 62,156.22 × 24,898
  4. Step 4: Simplify right side
    45,042.16x = 1,547,565,565.56
  5. Step 5: Solve for x
    x = 1,547,565,565.56/45,042.16
  6. Step 6: Final answer
    x = 34,358.16

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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.