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Finding the Fourth Proportional to 70,184.54, 96,854.10 and 38,352.86

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Solution

The fourth proportional to 70,184.54, 96,854.10 and 38,352.86 is: 52,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,184.54 : 96,854.10 = 38,352.86 : x
  2. Step 2: Convert to fraction form
    70,184.54/96,854.10 = 38,352.86/x
  3. Step 3: Cross multiply
    70,184.54x = 96,854.10 × 38,352.86
  4. Step 4: Simplify right side
    70,184.54x = 3,714,631,737.73
  5. Step 5: Solve for x
    x = 3,714,631,737.73/70,184.54
  6. Step 6: Final answer
    x = 52,926.64

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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.