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Finding the Fourth Proportional to 44,641.20, 61,602.08 and 24,494

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Solution

The fourth proportional to 44,641.20, 61,602.08 and 24,494 is: 33,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,641.20 : 61,602.08 = 24,494 : x
  2. Step 2: Convert to fraction form
    44,641.20/61,602.08 = 24,494/x
  3. Step 3: Cross multiply
    44,641.20x = 61,602.08 × 24,494
  4. Step 4: Simplify right side
    44,641.20x = 1,508,881,347.52
  5. Step 5: Solve for x
    x = 1,508,881,347.52/44,641.20
  6. Step 6: Final answer
    x = 33,800.20

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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.