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Finding the Fourth Proportional to 78,124.06, 107,811.30 and 42,314.37

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Solution

The fourth proportional to 78,124.06, 107,811.30 and 42,314.37 is: 58,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.06 : 107,811.30 = 42,314.37 : x
  2. Step 2: Convert to fraction form
    78,124.06/107,811.30 = 42,314.37/x
  3. Step 3: Cross multiply
    78,124.06x = 107,811.30 × 42,314.37
  4. Step 4: Simplify right side
    78,124.06x = 4,561,967,238.38
  5. Step 5: Solve for x
    x = 4,561,967,238.38/78,124.06
  6. Step 6: Final answer
    x = 58,393.88

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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.