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Finding the Fourth Proportional to 77,924.56, 107,536.38 and 42,114.48

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Solution

The fourth proportional to 77,924.56, 107,536.38 and 42,114.48 is: 58,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924.56 : 107,536.38 = 42,114.48 : x
  2. Step 2: Convert to fraction form
    77,924.56/107,536.38 = 42,114.48/x
  3. Step 3: Cross multiply
    77,924.56x = 107,536.38 × 42,114.48
  4. Step 4: Simplify right side
    77,924.56x = 4,528,838,724.78
  5. Step 5: Solve for x
    x = 4,528,838,724.78/77,924.56
  6. Step 6: Final answer
    x = 58,118.25

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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.