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Finding the Fourth Proportional to 97,657.68, 134,767.92 and 52,945.68

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Solution

The fourth proportional to 97,657.68, 134,767.92 and 52,945.68 is: 73,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,657.68 : 134,767.92 = 52,945.68 : x
  2. Step 2: Convert to fraction form
    97,657.68/134,767.92 = 52,945.68/x
  3. Step 3: Cross multiply
    97,657.68x = 134,767.92 × 52,945.68
  4. Step 4: Simplify right side
    97,657.68x = 7,135,379,166.59
  5. Step 5: Solve for x
    x = 7,135,379,166.59/97,657.68
  6. Step 6: Final answer
    x = 73,065.21

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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.