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Finding the Fourth Proportional to 54,742.63, 75,547.42 and 30,868.79

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Solution

The fourth proportional to 54,742.63, 75,547.42 and 30,868.79 is: 42,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.63 : 75,547.42 = 30,868.79 : x
  2. Step 2: Convert to fraction form
    54,742.63/75,547.42 = 30,868.79/x
  3. Step 3: Cross multiply
    54,742.63x = 75,547.42 × 30,868.79
  4. Step 4: Simplify right side
    54,742.63x = 2,332,057,443.02
  5. Step 5: Solve for x
    x = 2,332,057,443.02/54,742.63
  6. Step 6: Final answer
    x = 42,600.39

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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.