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Finding the Fourth Proportional to 86,378.40, 129,421.80 and 41,909.40

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Solution

The fourth proportional to 86,378.40, 129,421.80 and 41,909.40 is: 62,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,378.40 : 129,421.80 = 41,909.40 : x
  2. Step 2: Convert to fraction form
    86,378.40/129,421.80 = 41,909.40/x
  3. Step 3: Cross multiply
    86,378.40x = 129,421.80 × 41,909.40
  4. Step 4: Simplify right side
    86,378.40x = 5,423,989,984.92
  5. Step 5: Solve for x
    x = 5,423,989,984.92/86,378.40
  6. Step 6: Final answer
    x = 62,793.36

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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.