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Finding the Fourth Proportional to 65,412.42, 90,258.30 and 38,551.29

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Solution

The fourth proportional to 65,412.42, 90,258.30 and 38,551.29 is: 53,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412.42 : 90,258.30 = 38,551.29 : x
  2. Step 2: Convert to fraction form
    65,412.42/90,258.30 = 38,551.29/x
  3. Step 3: Cross multiply
    65,412.42x = 90,258.30 × 38,551.29
  4. Step 4: Simplify right side
    65,412.42x = 3,479,573,898.21
  5. Step 5: Solve for x
    x = 3,479,573,898.21/65,412.42
  6. Step 6: Final answer
    x = 53,194.39

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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.