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Finding the Fourth Proportional to 48,875.70, 73,204.20 and 42,314.70

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Solution

The fourth proportional to 48,875.70, 73,204.20 and 42,314.70 is: 63,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,875.70 : 73,204.20 = 42,314.70 : x
  2. Step 2: Convert to fraction form
    48,875.70/73,204.20 = 42,314.70/x
  3. Step 3: Cross multiply
    48,875.70x = 73,204.20 × 42,314.70
  4. Step 4: Simplify right side
    48,875.70x = 3,097,613,761.74
  5. Step 5: Solve for x
    x = 3,097,613,761.74/48,875.70
  6. Step 6: Final answer
    x = 63,377.38

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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.