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Finding the Fourth Proportional to 76,938.80, 106,180.88 and 42,953.96

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Solution

The fourth proportional to 76,938.80, 106,180.88 and 42,953.96 is: 59,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938.80 : 106,180.88 = 42,953.96 : x
  2. Step 2: Convert to fraction form
    76,938.80/106,180.88 = 42,953.96/x
  3. Step 3: Cross multiply
    76,938.80x = 106,180.88 × 42,953.96
  4. Step 4: Simplify right side
    76,938.80x = 4,560,889,322.97
  5. Step 5: Solve for x
    x = 4,560,889,322.97/76,938.80
  6. Step 6: Final answer
    x = 59,279.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.