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Finding the Fourth Proportional to 82,957.92, 114,483.12 and 45,234.08

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Solution

The fourth proportional to 82,957.92, 114,483.12 and 45,234.08 is: 62,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.92 : 114,483.12 = 45,234.08 : x
  2. Step 2: Convert to fraction form
    82,957.92/114,483.12 = 45,234.08/x
  3. Step 3: Cross multiply
    82,957.92x = 114,483.12 × 45,234.08
  4. Step 4: Simplify right side
    82,957.92x = 5,178,538,608.73
  5. Step 5: Solve for x
    x = 5,178,538,608.73/82,957.92
  6. Step 6: Final answer
    x = 62,423.68

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1.5x scale

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.