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Finding the Fourth Proportional to 44,685.04, 61,662.96 and 24,538

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Solution

The fourth proportional to 44,685.04, 61,662.96 and 24,538 is: 33,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,685.04 : 61,662.96 = 24,538 : x
  2. Step 2: Convert to fraction form
    44,685.04/61,662.96 = 24,538/x
  3. Step 3: Cross multiply
    44,685.04x = 61,662.96 × 24,538
  4. Step 4: Simplify right side
    44,685.04x = 1,513,085,712.48
  5. Step 5: Solve for x
    x = 1,513,085,712.48/44,685.04
  6. Step 6: Final answer
    x = 33,861.12

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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.