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Finding the Fourth Proportional to 32,305.24, 48,458.77 and 8,931.68

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Solution

The fourth proportional to 32,305.24, 48,458.77 and 8,931.68 is: 13,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.24 : 48,458.77 = 8,931.68 : x
  2. Step 2: Convert to fraction form
    32,305.24/48,458.77 = 8,931.68/x
  3. Step 3: Cross multiply
    32,305.24x = 48,458.77 × 8,931.68
  4. Step 4: Simplify right side
    32,305.24x = 432,818,226.83
  5. Step 5: Solve for x
    x = 432,818,226.83/32,305.24
  6. Step 6: Final answer
    x = 13,397.77

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