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Finding the Fourth Proportional to 52,077.62, 78,053.79 and 29,905.22

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Solution

The fourth proportional to 52,077.62, 78,053.79 and 29,905.22 is: 44,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.62 : 78,053.79 = 29,905.22 : x
  2. Step 2: Convert to fraction form
    52,077.62/78,053.79 = 29,905.22/x
  3. Step 3: Cross multiply
    52,077.62x = 78,053.79 × 29,905.22
  4. Step 4: Simplify right side
    52,077.62x = 2,334,215,761.78
  5. Step 5: Solve for x
    x = 2,334,215,761.78/52,077.62
  6. Step 6: Final answer
    x = 44,821.86

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1.5x scale

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.