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Finding the Fourth Proportional to 65,905.86, 90,951.62 and 38,689.68

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Solution

The fourth proportional to 65,905.86, 90,951.62 and 38,689.68 is: 53,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,905.86 : 90,951.62 = 38,689.68 : x
  2. Step 2: Convert to fraction form
    65,905.86/90,951.62 = 38,689.68/x
  3. Step 3: Cross multiply
    65,905.86x = 90,951.62 × 38,689.68
  4. Step 4: Simplify right side
    65,905.86x = 3,518,889,220.90
  5. Step 5: Solve for x
    x = 3,518,889,220.90/65,905.86
  6. Step 6: Final answer
    x = 53,392.66

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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.