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Finding the Fourth Proportional to 42,613.50, 63,908.01 and 13,024.38

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Solution

The fourth proportional to 42,613.50, 63,908.01 and 13,024.38 is: 19,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,613.50 : 63,908.01 = 13,024.38 : x
  2. Step 2: Convert to fraction form
    42,613.50/63,908.01 = 13,024.38/x
  3. Step 3: Cross multiply
    42,613.50x = 63,908.01 × 13,024.38
  4. Step 4: Simplify right side
    42,613.50x = 832,362,207.28
  5. Step 5: Solve for x
    x = 832,362,207.28/42,613.50
  6. Step 6: Final answer
    x = 19,532.83

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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.