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Finding the Fourth Proportional to 54,975.90, 75,866.89 and 29,825.40

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Solution

The fourth proportional to 54,975.90, 75,866.89 and 29,825.40 is: 41,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,975.90 : 75,866.89 = 29,825.40 : x
  2. Step 2: Convert to fraction form
    54,975.90/75,866.89 = 29,825.40/x
  3. Step 3: Cross multiply
    54,975.90x = 75,866.89 × 29,825.40
  4. Step 4: Simplify right side
    54,975.90x = 2,262,760,341.01
  5. Step 5: Solve for x
    x = 2,262,760,341.01/54,975.90
  6. Step 6: Final answer
    x = 41,159.13

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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.