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Finding the Fourth Proportional to 76,871.65, 106,083 and 42,882.34

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Solution

The fourth proportional to 76,871.65, 106,083 and 42,882.34 is: 59,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.65 : 106,083 = 42,882.34 : x
  2. Step 2: Convert to fraction form
    76,871.65/106,083 = 42,882.34/x
  3. Step 3: Cross multiply
    76,871.65x = 106,083 × 42,882.34
  4. Step 4: Simplify right side
    76,871.65x = 4,549,087,274.22
  5. Step 5: Solve for x
    x = 4,549,087,274.22/76,871.65
  6. Step 6: Final answer
    x = 59,177.70

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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.