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Finding the Fourth Proportional to 54,718.78, 75,507.38 and 30,851.32

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Solution

The fourth proportional to 54,718.78, 75,507.38 and 30,851.32 is: 42,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718.78 : 75,507.38 = 30,851.32 : x
  2. Step 2: Convert to fraction form
    54,718.78/75,507.38 = 30,851.32/x
  3. Step 3: Cross multiply
    54,718.78x = 75,507.38 × 30,851.32
  4. Step 4: Simplify right side
    54,718.78x = 2,329,502,342.74
  5. Step 5: Solve for x
    x = 2,329,502,342.74/54,718.78
  6. Step 6: Final answer
    x = 42,572.26

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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.