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Finding the Fourth Proportional to 65,112.52, 97,636.47 and 20,733.49

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Solution

The fourth proportional to 65,112.52, 97,636.47 and 20,733.49 is: 31,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.52 : 97,636.47 = 20,733.49 : x
  2. Step 2: Convert to fraction form
    65,112.52/97,636.47 = 20,733.49/x
  3. Step 3: Cross multiply
    65,112.52x = 97,636.47 × 20,733.49
  4. Step 4: Simplify right side
    65,112.52x = 2,024,344,774.38
  5. Step 5: Solve for x
    x = 2,024,344,774.38/65,112.52
  6. Step 6: Final answer
    x = 31,089.95

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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.