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Finding the Fourth Proportional to 49,152.30, 73,728.86 and 30,486.66

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Solution

The fourth proportional to 49,152.30, 73,728.86 and 30,486.66 is: 45,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.30 : 73,728.86 = 30,486.66 : x
  2. Step 2: Convert to fraction form
    49,152.30/73,728.86 = 30,486.66/x
  3. Step 3: Cross multiply
    49,152.30x = 73,728.86 × 30,486.66
  4. Step 4: Simplify right side
    49,152.30x = 2,247,746,534.57
  5. Step 5: Solve for x
    x = 2,247,746,534.57/49,152.30
  6. Step 6: Final answer
    x = 45,730.24

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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.