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Finding the Fourth Proportional to 32,077.61, 48,113.32 and 9,885.03

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Solution

The fourth proportional to 32,077.61, 48,113.32 and 9,885.03 is: 14,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.61 : 48,113.32 = 9,885.03 : x
  2. Step 2: Convert to fraction form
    32,077.61/48,113.32 = 9,885.03/x
  3. Step 3: Cross multiply
    32,077.61x = 48,113.32 × 9,885.03
  4. Step 4: Simplify right side
    32,077.61x = 475,601,321.61
  5. Step 5: Solve for x
    x = 475,601,321.61/32,077.61
  6. Step 6: Final answer
    x = 14,826.58

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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.