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Finding the Fourth Proportional to 54,698.52, 75,483.96 and 29,548

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Solution

The fourth proportional to 54,698.52, 75,483.96 and 29,548 is: 40,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.52 : 75,483.96 = 29,548 : x
  2. Step 2: Convert to fraction form
    54,698.52/75,483.96 = 29,548/x
  3. Step 3: Cross multiply
    54,698.52x = 75,483.96 × 29,548
  4. Step 4: Simplify right side
    54,698.52x = 2,230,400,050.08
  5. Step 5: Solve for x
    x = 2,230,400,050.08/54,698.52
  6. Step 6: Final answer
    x = 40,776.24

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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.