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Finding the Fourth Proportional to 47,742.68, 72,062.69 and 47,742.68

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Solution

The fourth proportional to 47,742.68, 72,062.69 and 47,742.68 is: 72,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,742.68 : 72,062.69 = 47,742.68 : x
  2. Step 2: Convert to fraction form
    47,742.68/72,062.69 = 47,742.68/x
  3. Step 3: Cross multiply
    47,742.68x = 72,062.69 × 47,742.68
  4. Step 4: Simplify right side
    47,742.68x = 3,440,465,890.05
  5. Step 5: Solve for x
    x = 3,440,465,890.05/47,742.68
  6. Step 6: Final answer
    x = 72,062.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.