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Finding the Fourth Proportional to 54,594, 75,333.61 and 30,728.88

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Solution

The fourth proportional to 54,594, 75,333.61 and 30,728.88 is: 42,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,594 : 75,333.61 = 30,728.88 : x
  2. Step 2: Convert to fraction form
    54,594/75,333.61 = 30,728.88/x
  3. Step 3: Cross multiply
    54,594x = 75,333.61 × 30,728.88
  4. Step 4: Simplify right side
    54,594x = 2,314,917,461.66
  5. Step 5: Solve for x
    x = 2,314,917,461.66/54,594
  6. Step 6: Final answer
    x = 42,402.42

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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.