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Finding the Fourth Proportional to 73,613.76, 101,586.72 and 40,080

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Solution

The fourth proportional to 73,613.76, 101,586.72 and 40,080 is: 55,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,613.76 : 101,586.72 = 40,080 : x
  2. Step 2: Convert to fraction form
    73,613.76/101,586.72 = 40,080/x
  3. Step 3: Cross multiply
    73,613.76x = 101,586.72 × 40,080
  4. Step 4: Simplify right side
    73,613.76x = 4,071,595,737.60
  5. Step 5: Solve for x
    x = 4,071,595,737.60/73,613.76
  6. Step 6: Final answer
    x = 55,310.25

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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.