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Finding the Fourth Proportional to 70,686.80, 106,030.20 and 21,438.80

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Solution

The fourth proportional to 70,686.80, 106,030.20 and 21,438.80 is: 32,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,686.80 : 106,030.20 = 21,438.80 : x
  2. Step 2: Convert to fraction form
    70,686.80/106,030.20 = 21,438.80/x
  3. Step 3: Cross multiply
    70,686.80x = 106,030.20 × 21,438.80
  4. Step 4: Simplify right side
    70,686.80x = 2,273,160,251.76
  5. Step 5: Solve for x
    x = 2,273,160,251.76/70,686.80
  6. Step 6: Final answer
    x = 32,158.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.