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Finding the Fourth Proportional to 71,468.42, 107,176.95 and 24,073.40

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Solution

The fourth proportional to 71,468.42, 107,176.95 and 24,073.40 is: 36,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468.42 : 107,176.95 = 24,073.40 : x
  2. Step 2: Convert to fraction form
    71,468.42/107,176.95 = 24,073.40/x
  3. Step 3: Cross multiply
    71,468.42x = 107,176.95 × 24,073.40
  4. Step 4: Simplify right side
    71,468.42x = 2,580,113,856.07
  5. Step 5: Solve for x
    x = 2,580,113,856.07/71,468.42
  6. Step 6: Final answer
    x = 36,101.46

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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.