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Finding the Fourth Proportional to 51,382.80, 77,074.20 and 14,446.80

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Solution

The fourth proportional to 51,382.80, 77,074.20 and 14,446.80 is: 21,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382.80 : 77,074.20 = 14,446.80 : x
  2. Step 2: Convert to fraction form
    51,382.80/77,074.20 = 14,446.80/x
  3. Step 3: Cross multiply
    51,382.80x = 77,074.20 × 14,446.80
  4. Step 4: Simplify right side
    51,382.80x = 1,113,475,552.56
  5. Step 5: Solve for x
    x = 1,113,475,552.56/51,382.80
  6. Step 6: Final answer
    x = 21,670.20

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1.5x scale

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.