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Finding the Fourth Proportional to 65,145.94, 89,903.62 and 38,288.06

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Solution

The fourth proportional to 65,145.94, 89,903.62 and 38,288.06 is: 52,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,145.94 : 89,903.62 = 38,288.06 : x
  2. Step 2: Convert to fraction form
    65,145.94/89,903.62 = 38,288.06/x
  3. Step 3: Cross multiply
    65,145.94x = 89,903.62 × 38,288.06
  4. Step 4: Simplify right side
    65,145.94x = 3,442,235,196.78
  5. Step 5: Solve for x
    x = 3,442,235,196.78/65,145.94
  6. Step 6: Final answer
    x = 52,838.83

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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.