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Finding the Fourth Proportional to 32,150.61, 48,225.42 and 8,776.98

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Solution

The fourth proportional to 32,150.61, 48,225.42 and 8,776.98 is: 13,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.61 : 48,225.42 = 8,776.98 : x
  2. Step 2: Convert to fraction form
    32,150.61/48,225.42 = 8,776.98/x
  3. Step 3: Cross multiply
    32,150.61x = 48,225.42 × 8,776.98
  4. Step 4: Simplify right side
    32,150.61x = 423,273,546.83
  5. Step 5: Solve for x
    x = 423,273,546.83/32,150.61
  6. Step 6: Final answer
    x = 13,165.33

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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.