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Finding the Fourth Proportional to 78,243.88, 107,975.80 and 42,434.68

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Solution

The fourth proportional to 78,243.88, 107,975.80 and 42,434.68 is: 58,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,243.88 : 107,975.80 = 42,434.68 : x
  2. Step 2: Convert to fraction form
    78,243.88/107,975.80 = 42,434.68/x
  3. Step 3: Cross multiply
    78,243.88x = 107,975.80 × 42,434.68
  4. Step 4: Simplify right side
    78,243.88x = 4,581,918,520.74
  5. Step 5: Solve for x
    x = 4,581,918,520.74/78,243.88
  6. Step 6: Final answer
    x = 58,559.45

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1.5x scale

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.