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Finding the Fourth Proportional to 65,272.40, 97,908.60 and 16,024.40

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Solution

The fourth proportional to 65,272.40, 97,908.60 and 16,024.40 is: 24,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272.40 : 97,908.60 = 16,024.40 : x
  2. Step 2: Convert to fraction form
    65,272.40/97,908.60 = 16,024.40/x
  3. Step 3: Cross multiply
    65,272.40x = 97,908.60 × 16,024.40
  4. Step 4: Simplify right side
    65,272.40x = 1,568,926,569.84
  5. Step 5: Solve for x
    x = 1,568,926,569.84/65,272.40
  6. Step 6: Final answer
    x = 24,036.60

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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.