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Finding the Fourth Proportional to 65,836.53, 98,810.10 and 28,424.88

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Solution

The fourth proportional to 65,836.53, 98,810.10 and 28,424.88 is: 42,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,836.53 : 98,810.10 = 28,424.88 : x
  2. Step 2: Convert to fraction form
    65,836.53/98,810.10 = 28,424.88/x
  3. Step 3: Cross multiply
    65,836.53x = 98,810.10 × 28,424.88
  4. Step 4: Simplify right side
    65,836.53x = 2,808,665,235.29
  5. Step 5: Solve for x
    x = 2,808,665,235.29/65,836.53
  6. Step 6: Final answer
    x = 42,661.20

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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.