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Finding the Fourth Proportional to 54,482, 75,135.24 and 35,341.84

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Solution

The fourth proportional to 54,482, 75,135.24 and 35,341.84 is: 48,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,482 : 75,135.24 = 35,341.84 : x
  2. Step 2: Convert to fraction form
    54,482/75,135.24 = 35,341.84/x
  3. Step 3: Cross multiply
    54,482x = 75,135.24 × 35,341.84
  4. Step 4: Simplify right side
    54,482x = 2,655,417,630.44
  5. Step 5: Solve for x
    x = 2,655,417,630.44/54,482
  6. Step 6: Final answer
    x = 48,739.36

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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.