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Finding the Fourth Proportional to 65,521.32, 90,419.32 and 38,663.88

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Solution

The fourth proportional to 65,521.32, 90,419.32 and 38,663.88 is: 53,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,521.32 : 90,419.32 = 38,663.88 : x
  2. Step 2: Convert to fraction form
    65,521.32/90,419.32 = 38,663.88/x
  3. Step 3: Cross multiply
    65,521.32x = 90,419.32 × 38,663.88
  4. Step 4: Simplify right side
    65,521.32x = 3,495,961,738.16
  5. Step 5: Solve for x
    x = 3,495,961,738.16/65,521.32
  6. Step 6: Final answer
    x = 53,356.09

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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.