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Finding the Fourth Proportional to 65,642.00, 90,597.30 and 38,042.81

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Solution

The fourth proportional to 65,642.00, 90,597.30 and 38,042.81 is: 52,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.00 : 90,597.30 = 38,042.81 : x
  2. Step 2: Convert to fraction form
    65,642.00/90,597.30 = 38,042.81/x
  3. Step 3: Cross multiply
    65,642.00x = 90,597.30 × 38,042.81
  4. Step 4: Simplify right side
    65,642.00x = 3,446,575,724.67
  5. Step 5: Solve for x
    x = 3,446,575,724.67/65,642.00
  6. Step 6: Final answer
    x = 52,505.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.