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Finding the Fourth Proportional to 76,407, 114,656.58 and 32,631

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Solution

The fourth proportional to 76,407, 114,656.58 and 32,631 is: 48,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,407 : 114,656.58 = 32,631 : x
  2. Step 2: Convert to fraction form
    76,407/114,656.58 = 32,631/x
  3. Step 3: Cross multiply
    76,407x = 114,656.58 × 32,631
  4. Step 4: Simplify right side
    76,407x = 3,741,358,861.98
  5. Step 5: Solve for x
    x = 3,741,358,861.98/76,407
  6. Step 6: Final answer
    x = 48,966.18

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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.