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Finding the Fourth Proportional to 72,419.80, 108,597.30 and 28,031.80

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Solution

The fourth proportional to 72,419.80, 108,597.30 and 28,031.80 is: 42,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,419.80 : 108,597.30 = 28,031.80 : x
  2. Step 2: Convert to fraction form
    72,419.80/108,597.30 = 28,031.80/x
  3. Step 3: Cross multiply
    72,419.80x = 108,597.30 × 28,031.80
  4. Step 4: Simplify right side
    72,419.80x = 3,044,177,794.14
  5. Step 5: Solve for x
    x = 3,044,177,794.14/72,419.80
  6. Step 6: Final answer
    x = 42,035.16

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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.