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Finding the Fourth Proportional to 77,041.86, 106,318.38 and 43,507.86

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Solution

The fourth proportional to 77,041.86, 106,318.38 and 43,507.86 is: 60,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,041.86 : 106,318.38 = 43,507.86 : x
  2. Step 2: Convert to fraction form
    77,041.86/106,318.38 = 43,507.86/x
  3. Step 3: Cross multiply
    77,041.86x = 106,318.38 × 43,507.86
  4. Step 4: Simplify right side
    77,041.86x = 4,625,685,192.47
  5. Step 5: Solve for x
    x = 4,625,685,192.47/77,041.86
  6. Step 6: Final answer
    x = 60,041.19

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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.