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Finding the Fourth Proportional to 65,737.76, 98,623.22 and 18,352.81

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Solution

The fourth proportional to 65,737.76, 98,623.22 and 18,352.81 is: 27,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,737.76 : 98,623.22 = 18,352.81 : x
  2. Step 2: Convert to fraction form
    65,737.76/98,623.22 = 18,352.81/x
  3. Step 3: Cross multiply
    65,737.76x = 98,623.22 × 18,352.81
  4. Step 4: Simplify right side
    65,737.76x = 1,810,013,387.41
  5. Step 5: Solve for x
    x = 1,810,013,387.41/65,737.76
  6. Step 6: Final answer
    x = 27,533.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.