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Finding the Fourth Proportional to 44,648, 61,614.40 and 24,776

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Solution

The fourth proportional to 44,648, 61,614.40 and 24,776 is: 34,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,648 : 61,614.40 = 24,776 : x
  2. Step 2: Convert to fraction form
    44,648/61,614.40 = 24,776/x
  3. Step 3: Cross multiply
    44,648x = 61,614.40 × 24,776
  4. Step 4: Simplify right side
    44,648x = 1,526,558,374.40
  5. Step 5: Solve for x
    x = 1,526,558,374.40/44,648
  6. Step 6: Final answer
    x = 34,190.97

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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.