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Finding the Fourth Proportional to 65,502.61, 98,244.29 and 32,213.70

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Solution

The fourth proportional to 65,502.61, 98,244.29 and 32,213.70 is: 48,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502.61 : 98,244.29 = 32,213.70 : x
  2. Step 2: Convert to fraction form
    65,502.61/98,244.29 = 32,213.70/x
  3. Step 3: Cross multiply
    65,502.61x = 98,244.29 × 32,213.70
  4. Step 4: Simplify right side
    65,502.61x = 3,164,812,165.31
  5. Step 5: Solve for x
    x = 3,164,812,165.31/65,502.61
  6. Step 6: Final answer
    x = 48,315.82

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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.