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Finding the Fourth Proportional to 65,531.76, 98,297.64 and 16,283.76

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Solution

The fourth proportional to 65,531.76, 98,297.64 and 16,283.76 is: 24,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531.76 : 98,297.64 = 16,283.76 : x
  2. Step 2: Convert to fraction form
    65,531.76/98,297.64 = 16,283.76/x
  3. Step 3: Cross multiply
    65,531.76x = 98,297.64 × 16,283.76
  4. Step 4: Simplify right side
    65,531.76x = 1,600,655,178.33
  5. Step 5: Solve for x
    x = 1,600,655,178.33/65,531.76
  6. Step 6: Final answer
    x = 24,425.64

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1.5x scale

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.