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Finding the Fourth Proportional to 71,477.16, 107,225.46 and 24,733.68

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Solution

The fourth proportional to 71,477.16, 107,225.46 and 24,733.68 is: 37,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,477.16 : 107,225.46 = 24,733.68 : x
  2. Step 2: Convert to fraction form
    71,477.16/107,225.46 = 24,733.68/x
  3. Step 3: Cross multiply
    71,477.16x = 107,225.46 × 24,733.68
  4. Step 4: Simplify right side
    71,477.16x = 2,652,080,215.49
  5. Step 5: Solve for x
    x = 2,652,080,215.49/71,477.16
  6. Step 6: Final answer
    x = 37,103.88

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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.