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Finding the Fourth Proportional to 71,154.32, 106,796.10 and 37,902.74

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Solution

The fourth proportional to 71,154.32, 106,796.10 and 37,902.74 is: 56,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,154.32 : 106,796.10 = 37,902.74 : x
  2. Step 2: Convert to fraction form
    71,154.32/106,796.10 = 37,902.74/x
  3. Step 3: Cross multiply
    71,154.32x = 106,796.10 × 37,902.74
  4. Step 4: Simplify right side
    71,154.32x = 4,047,864,811.31
  5. Step 5: Solve for x
    x = 4,047,864,811.31/71,154.32
  6. Step 6: Final answer
    x = 56,888.53

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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.