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Finding the Fourth Proportional to 61,734.68, 92,543.70 and 56,077.64

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Solution

The fourth proportional to 61,734.68, 92,543.70 and 56,077.64 is: 84,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,734.68 : 92,543.70 = 56,077.64 : x
  2. Step 2: Convert to fraction form
    61,734.68/92,543.70 = 56,077.64/x
  3. Step 3: Cross multiply
    61,734.68x = 92,543.70 × 56,077.64
  4. Step 4: Simplify right side
    61,734.68x = 5,189,632,292.87
  5. Step 5: Solve for x
    x = 5,189,632,292.87/61,734.68
  6. Step 6: Final answer
    x = 84,063.48

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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.