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Finding the Fourth Proportional to 54,590.95, 75,335.02 and 30,717.15

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Solution

The fourth proportional to 54,590.95, 75,335.02 and 30,717.15 is: 42,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590.95 : 75,335.02 = 30,717.15 : x
  2. Step 2: Convert to fraction form
    54,590.95/75,335.02 = 30,717.15/x
  3. Step 3: Cross multiply
    54,590.95x = 75,335.02 × 30,717.15
  4. Step 4: Simplify right side
    54,590.95x = 2,314,077,109.59
  5. Step 5: Solve for x
    x = 2,314,077,109.59/54,590.95
  6. Step 6: Final answer
    x = 42,389.39

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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.