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Finding the Fourth Proportional to 65,838.53, 98,813.10 and 28,426.88

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Solution

The fourth proportional to 65,838.53, 98,813.10 and 28,426.88 is: 42,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.53 : 98,813.10 = 28,426.88 : x
  2. Step 2: Convert to fraction form
    65,838.53/98,813.10 = 28,426.88/x
  3. Step 3: Cross multiply
    65,838.53x = 98,813.10 × 28,426.88
  4. Step 4: Simplify right side
    65,838.53x = 2,808,948,136.13
  5. Step 5: Solve for x
    x = 2,808,948,136.13/65,838.53
  6. Step 6: Final answer
    x = 42,664.20

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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.