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Finding the Fourth Proportional to 65,504.68, 98,257.02 and 16,256.68

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Solution

The fourth proportional to 65,504.68, 98,257.02 and 16,256.68 is: 24,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,504.68 : 98,257.02 = 16,256.68 : x
  2. Step 2: Convert to fraction form
    65,504.68/98,257.02 = 16,256.68/x
  3. Step 3: Cross multiply
    65,504.68x = 98,257.02 × 16,256.68
  4. Step 4: Simplify right side
    65,504.68x = 1,597,332,931.89
  5. Step 5: Solve for x
    x = 1,597,332,931.89/65,504.68
  6. Step 6: Final answer
    x = 24,385.02

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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.