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Finding the Fourth Proportional to 70,948.56, 106,426.08 and 24,201.84

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Solution

The fourth proportional to 70,948.56, 106,426.08 and 24,201.84 is: 36,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948.56 : 106,426.08 = 24,201.84 : x
  2. Step 2: Convert to fraction form
    70,948.56/106,426.08 = 24,201.84/x
  3. Step 3: Cross multiply
    70,948.56x = 106,426.08 × 24,201.84
  4. Step 4: Simplify right side
    70,948.56x = 2,575,706,959.99
  5. Step 5: Solve for x
    x = 2,575,706,959.99/70,948.56
  6. Step 6: Final answer
    x = 36,303.87

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Why These Related Problems?

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