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Finding the Fourth Proportional to 44,780, 61,796.76 and 24,908

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Solution

The fourth proportional to 44,780, 61,796.76 and 24,908 is: 34,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,780 : 61,796.76 = 24,908 : x
  2. Step 2: Convert to fraction form
    44,780/61,796.76 = 24,908/x
  3. Step 3: Cross multiply
    44,780x = 61,796.76 × 24,908
  4. Step 4: Simplify right side
    44,780x = 1,539,233,698.08
  5. Step 5: Solve for x
    x = 1,539,233,698.08/44,780
  6. Step 6: Final answer
    x = 34,373.24

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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.