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Finding the Fourth Proportional to 77,572.64, 107,061.78 and 47,375.48

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Solution

The fourth proportional to 77,572.64, 107,061.78 and 47,375.48 is: 65,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572.64 : 107,061.78 = 47,375.48 : x
  2. Step 2: Convert to fraction form
    77,572.64/107,061.78 = 47,375.48/x
  3. Step 3: Cross multiply
    77,572.64x = 107,061.78 × 47,375.48
  4. Step 4: Simplify right side
    77,572.64x = 5,072,102,681.85
  5. Step 5: Solve for x
    x = 5,072,102,681.85/77,572.64
  6. Step 6: Final answer
    x = 65,385.21

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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.