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Finding the Fourth Proportional to 32,305.51, 48,458.10 and 8,615.52

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Solution

The fourth proportional to 32,305.51, 48,458.10 and 8,615.52 is: 12,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.51 : 48,458.10 = 8,615.52 : x
  2. Step 2: Convert to fraction form
    32,305.51/48,458.10 = 8,615.52/x
  3. Step 3: Cross multiply
    32,305.51x = 48,458.10 × 8,615.52
  4. Step 4: Simplify right side
    32,305.51x = 417,491,729.71
  5. Step 5: Solve for x
    x = 417,491,729.71/32,305.51
  6. Step 6: Final answer
    x = 12,923.24

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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.