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Finding the Fourth Proportional to 65,035.32, 89,748.71 and 38,177.82

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Solution

The fourth proportional to 65,035.32, 89,748.71 and 38,177.82 is: 52,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,035.32 : 89,748.71 = 38,177.82 : x
  2. Step 2: Convert to fraction form
    65,035.32/89,748.71 = 38,177.82/x
  3. Step 3: Cross multiply
    65,035.32x = 89,748.71 × 38,177.82
  4. Step 4: Simplify right side
    65,035.32x = 3,426,410,095.61
  5. Step 5: Solve for x
    x = 3,426,410,095.61/65,035.32
  6. Step 6: Final answer
    x = 52,685.37

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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.