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Finding the Fourth Proportional to 54,781.79, 75,602.43 and 30,899.75

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Solution

The fourth proportional to 54,781.79, 75,602.43 and 30,899.75 is: 42,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,781.79 : 75,602.43 = 30,899.75 : x
  2. Step 2: Convert to fraction form
    54,781.79/75,602.43 = 30,899.75/x
  3. Step 3: Cross multiply
    54,781.79x = 75,602.43 × 30,899.75
  4. Step 4: Simplify right side
    54,781.79x = 2,336,095,808.38
  5. Step 5: Solve for x
    x = 2,336,095,808.38/54,781.79
  6. Step 6: Final answer
    x = 42,643.66

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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.