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Finding the Fourth Proportional to 65,238.28, 90,027.29 and 38,382.51

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Solution

The fourth proportional to 65,238.28, 90,027.29 and 38,382.51 is: 52,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.28 : 90,027.29 = 38,382.51 : x
  2. Step 2: Convert to fraction form
    65,238.28/90,027.29 = 38,382.51/x
  3. Step 3: Cross multiply
    65,238.28x = 90,027.29 × 38,382.51
  4. Step 4: Simplify right side
    65,238.28x = 3,455,473,358.70
  5. Step 5: Solve for x
    x = 3,455,473,358.70/65,238.28
  6. Step 6: Final answer
    x = 52,966.96

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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.