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Finding the Fourth Proportional to 32,108.81, 48,145.53 and 9,916.07

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Solution

The fourth proportional to 32,108.81, 48,145.53 and 9,916.07 is: 14,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.81 : 48,145.53 = 9,916.07 : x
  2. Step 2: Convert to fraction form
    32,108.81/48,145.53 = 9,916.07/x
  3. Step 3: Cross multiply
    32,108.81x = 48,145.53 × 9,916.07
  4. Step 4: Simplify right side
    32,108.81x = 477,414,445.67
  5. Step 5: Solve for x
    x = 477,414,445.67/32,108.81
  6. Step 6: Final answer
    x = 14,868.64

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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.