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Finding the Fourth Proportional to 65,042.02, 89,759.64 and 38,185.66

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Solution

The fourth proportional to 65,042.02, 89,759.64 and 38,185.66 is: 52,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.02 : 89,759.64 = 38,185.66 : x
  2. Step 2: Convert to fraction form
    65,042.02/89,759.64 = 38,185.66/x
  3. Step 3: Cross multiply
    65,042.02x = 89,759.64 × 38,185.66
  4. Step 4: Simplify right side
    65,042.02x = 3,427,531,094.76
  5. Step 5: Solve for x
    x = 3,427,531,094.76/65,042.02
  6. Step 6: Final answer
    x = 52,697.18

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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.