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Finding the Fourth Proportional to 55,785.80, 83,658.70 and 20,238.16

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Solution

The fourth proportional to 55,785.80, 83,658.70 and 20,238.16 is: 30,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,785.80 : 83,658.70 = 20,238.16 : x
  2. Step 2: Convert to fraction form
    55,785.80/83,658.70 = 20,238.16/x
  3. Step 3: Cross multiply
    55,785.80x = 83,658.70 × 20,238.16
  4. Step 4: Simplify right side
    55,785.80x = 1,693,098,155.99
  5. Step 5: Solve for x
    x = 1,693,098,155.99/55,785.80
  6. Step 6: Final answer
    x = 30,349.98

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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.