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Finding the Fourth Proportional to 54,733.02, 75,527.10 and 32,069.04

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Solution

The fourth proportional to 54,733.02, 75,527.10 and 32,069.04 is: 44,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,733.02 : 75,527.10 = 32,069.04 : x
  2. Step 2: Convert to fraction form
    54,733.02/75,527.10 = 32,069.04/x
  3. Step 3: Cross multiply
    54,733.02x = 75,527.10 × 32,069.04
  4. Step 4: Simplify right side
    54,733.02x = 2,422,081,590.98
  5. Step 5: Solve for x
    x = 2,422,081,590.98/54,733.02
  6. Step 6: Final answer
    x = 44,252.66

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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.