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Finding the Fourth Proportional to 32,109.84, 48,174.48 and 13,386.96

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Solution

The fourth proportional to 32,109.84, 48,174.48 and 13,386.96 is: 20,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.84 : 48,174.48 = 13,386.96 : x
  2. Step 2: Convert to fraction form
    32,109.84/48,174.48 = 13,386.96/x
  3. Step 3: Cross multiply
    32,109.84x = 48,174.48 × 13,386.96
  4. Step 4: Simplify right side
    32,109.84x = 644,909,836.78
  5. Step 5: Solve for x
    x = 644,909,836.78/32,109.84
  6. Step 6: Final answer
    x = 20,084.49

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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.