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Finding the Fourth Proportional to 73,672.65, 110,416.52 and 31,503.13

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Solution

The fourth proportional to 73,672.65, 110,416.52 and 31,503.13 is: 47,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672.65 : 110,416.52 = 31,503.13 : x
  2. Step 2: Convert to fraction form
    73,672.65/110,416.52 = 31,503.13/x
  3. Step 3: Cross multiply
    73,672.65x = 110,416.52 × 31,503.13
  4. Step 4: Simplify right side
    73,672.65x = 3,478,465,786.42
  5. Step 5: Solve for x
    x = 3,478,465,786.42/73,672.65
  6. Step 6: Final answer
    x = 47,215.16

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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.