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Finding the Fourth Proportional to 72,655.38, 100,305.53 and 47,184.52

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Solution

The fourth proportional to 72,655.38, 100,305.53 and 47,184.52 is: 65,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,655.38 : 100,305.53 = 47,184.52 : x
  2. Step 2: Convert to fraction form
    72,655.38/100,305.53 = 47,184.52/x
  3. Step 3: Cross multiply
    72,655.38x = 100,305.53 × 47,184.52
  4. Step 4: Simplify right side
    72,655.38x = 4,732,868,286.40
  5. Step 5: Solve for x
    x = 4,732,868,286.40/72,655.38
  6. Step 6: Final answer
    x = 65,141.33

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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.