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Finding the Fourth Proportional to 56,369.70, 77,802.98 and 35,144.87

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Solution

The fourth proportional to 56,369.70, 77,802.98 and 35,144.87 is: 48,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,369.70 : 77,802.98 = 35,144.87 : x
  2. Step 2: Convert to fraction form
    56,369.70/77,802.98 = 35,144.87/x
  3. Step 3: Cross multiply
    56,369.70x = 77,802.98 × 35,144.87
  4. Step 4: Simplify right side
    56,369.70x = 2,734,375,052.97
  5. Step 5: Solve for x
    x = 2,734,375,052.97/56,369.70
  6. Step 6: Final answer
    x = 48,507.89

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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.