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Finding the Fourth Proportional to 82,957.92, 114,445.50 and 56,090.70

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Solution

The fourth proportional to 82,957.92, 114,445.50 and 56,090.70 is: 77,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.92 : 114,445.50 = 56,090.70 : x
  2. Step 2: Convert to fraction form
    82,957.92/114,445.50 = 56,090.70/x
  3. Step 3: Cross multiply
    82,957.92x = 114,445.50 × 56,090.70
  4. Step 4: Simplify right side
    82,957.92x = 6,419,328,206.85
  5. Step 5: Solve for x
    x = 6,419,328,206.85/82,957.92
  6. Step 6: Final answer
    x = 77,380.53

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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.