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Finding the Fourth Proportional to 54,443.52, 75,132 and 31,798.08

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Solution

The fourth proportional to 54,443.52, 75,132 and 31,798.08 is: 43,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,443.52 : 75,132 = 31,798.08 : x
  2. Step 2: Convert to fraction form
    54,443.52/75,132 = 31,798.08/x
  3. Step 3: Cross multiply
    54,443.52x = 75,132 × 31,798.08
  4. Step 4: Simplify right side
    54,443.52x = 2,389,053,346.56
  5. Step 5: Solve for x
    x = 2,389,053,346.56/54,443.52
  6. Step 6: Final answer
    x = 43,881.32

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1.5x scale

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.