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Finding the Fourth Proportional to 97,648.37, 134,769.12 and 61,841.71

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Solution

The fourth proportional to 97,648.37, 134,769.12 and 61,841.71 is: 85,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.37 : 134,769.12 = 61,841.71 : x
  2. Step 2: Convert to fraction form
    97,648.37/134,769.12 = 61,841.71/x
  3. Step 3: Cross multiply
    97,648.37x = 134,769.12 × 61,841.71
  4. Step 4: Simplify right side
    97,648.37x = 8,334,352,772.55
  5. Step 5: Solve for x
    x = 8,334,352,772.55/97,648.37
  6. Step 6: Final answer
    x = 85,350.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.