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Finding the Fourth Proportional to 47,686.53, 65,813.24 and 27,543.39

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Solution

The fourth proportional to 47,686.53, 65,813.24 and 27,543.39 is: 38,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,686.53 : 65,813.24 = 27,543.39 : x
  2. Step 2: Convert to fraction form
    47,686.53/65,813.24 = 27,543.39/x
  3. Step 3: Cross multiply
    47,686.53x = 65,813.24 × 27,543.39
  4. Step 4: Simplify right side
    47,686.53x = 1,812,719,928.74
  5. Step 5: Solve for x
    x = 1,812,719,928.74/47,686.53
  6. Step 6: Final answer
    x = 38,013.25

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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.