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Finding the Fourth Proportional to 32,391.50, 48,595.14 and 13,661.46

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Solution

The fourth proportional to 32,391.50, 48,595.14 and 13,661.46 is: 20,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,391.50 : 48,595.14 = 13,661.46 : x
  2. Step 2: Convert to fraction form
    32,391.50/48,595.14 = 13,661.46/x
  3. Step 3: Cross multiply
    32,391.50x = 48,595.14 × 13,661.46
  4. Step 4: Simplify right side
    32,391.50x = 663,880,561.30
  5. Step 5: Solve for x
    x = 663,880,561.30/32,391.50
  6. Step 6: Final answer
    x = 20,495.52

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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.