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Finding the Fourth Proportional to 65,257.20, 90,053.06 and 38,393.54

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Solution

The fourth proportional to 65,257.20, 90,053.06 and 38,393.54 is: 52,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.20 : 90,053.06 = 38,393.54 : x
  2. Step 2: Convert to fraction form
    65,257.20/90,053.06 = 38,393.54/x
  3. Step 3: Cross multiply
    65,257.20x = 90,053.06 × 38,393.54
  4. Step 4: Simplify right side
    65,257.20x = 3,457,455,761.23
  5. Step 5: Solve for x
    x = 3,457,455,761.23/65,257.20
  6. Step 6: Final answer
    x = 52,981.98

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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.