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Finding the Fourth Proportional to 48,438.46, 72,661.86 and 13,378.12

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Solution

The fourth proportional to 48,438.46, 72,661.86 and 13,378.12 is: 20,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438.46 : 72,661.86 = 13,378.12 : x
  2. Step 2: Convert to fraction form
    48,438.46/72,661.86 = 13,378.12/x
  3. Step 3: Cross multiply
    48,438.46x = 72,661.86 × 13,378.12
  4. Step 4: Simplify right side
    48,438.46x = 972,079,082.50
  5. Step 5: Solve for x
    x = 972,079,082.50/48,438.46
  6. Step 6: Final answer
    x = 20,068.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.