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Finding the Fourth Proportional to 65,106.52, 97,627.47 and 20,727.49

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Solution

The fourth proportional to 65,106.52, 97,627.47 and 20,727.49 is: 31,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.52 : 97,627.47 = 20,727.49 : x
  2. Step 2: Convert to fraction form
    65,106.52/97,627.47 = 20,727.49/x
  3. Step 3: Cross multiply
    65,106.52x = 97,627.47 × 20,727.49
  4. Step 4: Simplify right side
    65,106.52x = 2,023,572,408.15
  5. Step 5: Solve for x
    x = 2,023,572,408.15/65,106.52
  6. Step 6: Final answer
    x = 31,080.95

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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.