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Finding the Fourth Proportional to 71,972.40, 107,926.20 and 32,509.20

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Solution

The fourth proportional to 71,972.40, 107,926.20 and 32,509.20 is: 48,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972.40 : 107,926.20 = 32,509.20 : x
  2. Step 2: Convert to fraction form
    71,972.40/107,926.20 = 32,509.20/x
  3. Step 3: Cross multiply
    71,972.40x = 107,926.20 × 32,509.20
  4. Step 4: Simplify right side
    71,972.40x = 3,508,594,421.04
  5. Step 5: Solve for x
    x = 3,508,594,421.04/71,972.40
  6. Step 6: Final answer
    x = 48,749.17

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1.5x scale

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.