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Finding the Fourth Proportional to 32,125.67, 48,182.69 and 8,746.64

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Solution

The fourth proportional to 32,125.67, 48,182.69 and 8,746.64 is: 13,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125.67 : 48,182.69 = 8,746.64 : x
  2. Step 2: Convert to fraction form
    32,125.67/48,182.69 = 8,746.64/x
  3. Step 3: Cross multiply
    32,125.67x = 48,182.69 × 8,746.64
  4. Step 4: Simplify right side
    32,125.67x = 421,436,424.61
  5. Step 5: Solve for x
    x = 421,436,424.61/32,125.67
  6. Step 6: Final answer
    x = 13,118.37

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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.