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Finding the Fourth Proportional to 47,298.64, 65,253.76 and 27,148.24

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Solution

The fourth proportional to 47,298.64, 65,253.76 and 27,148.24 is: 37,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,298.64 : 65,253.76 = 27,148.24 : x
  2. Step 2: Convert to fraction form
    47,298.64/65,253.76 = 27,148.24/x
  3. Step 3: Cross multiply
    47,298.64x = 65,253.76 × 27,148.24
  4. Step 4: Simplify right side
    47,298.64x = 1,771,524,737.38
  5. Step 5: Solve for x
    x = 1,771,524,737.38/47,298.64
  6. Step 6: Final answer
    x = 37,454.03

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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.