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Finding the Fourth Proportional to 32,508.97, 48,758.47 and 10,319.47

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Solution

The fourth proportional to 32,508.97, 48,758.47 and 10,319.47 is: 15,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.97 : 48,758.47 = 10,319.47 : x
  2. Step 2: Convert to fraction form
    32,508.97/48,758.47 = 10,319.47/x
  3. Step 3: Cross multiply
    32,508.97x = 48,758.47 × 10,319.47
  4. Step 4: Simplify right side
    32,508.97x = 503,161,568.41
  5. Step 5: Solve for x
    x = 503,161,568.41/32,508.97
  6. Step 6: Final answer
    x = 15,477.62

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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.