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Finding the Fourth Proportional to 76,513.92, 114,770.87 and 29,117.83

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Solution

The fourth proportional to 76,513.92, 114,770.87 and 29,117.83 is: 43,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,513.92 : 114,770.87 = 29,117.83 : x
  2. Step 2: Convert to fraction form
    76,513.92/114,770.87 = 29,117.83/x
  3. Step 3: Cross multiply
    76,513.92x = 114,770.87 × 29,117.83
  4. Step 4: Simplify right side
    76,513.92x = 3,341,878,681.61
  5. Step 5: Solve for x
    x = 3,341,878,681.61/76,513.92
  6. Step 6: Final answer
    x = 43,676.74

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1.5x scale

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.