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Finding the Fourth Proportional to 32,065.70, 48,108.27 and 15,421.01

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Solution

The fourth proportional to 32,065.70, 48,108.27 and 15,421.01 is: 23,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.70 : 48,108.27 = 15,421.01 : x
  2. Step 2: Convert to fraction form
    32,065.70/48,108.27 = 15,421.01/x
  3. Step 3: Cross multiply
    32,065.70x = 48,108.27 × 15,421.01
  4. Step 4: Simplify right side
    32,065.70x = 741,877,872.21
  5. Step 5: Solve for x
    x = 741,877,872.21/32,065.70
  6. Step 6: Final answer
    x = 23,136.19

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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.