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Finding the Fourth Proportional to 54,940.42, 75,827.49 and 32,279.40

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Solution

The fourth proportional to 54,940.42, 75,827.49 and 32,279.40 is: 44,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.42 : 75,827.49 = 32,279.40 : x
  2. Step 2: Convert to fraction form
    54,940.42/75,827.49 = 32,279.40/x
  3. Step 3: Cross multiply
    54,940.42x = 75,827.49 × 32,279.40
  4. Step 4: Simplify right side
    54,940.42x = 2,447,666,063.71
  5. Step 5: Solve for x
    x = 2,447,666,063.71/54,940.42
  6. Step 6: Final answer
    x = 44,551.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.