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Finding the Fourth Proportional to 54,693.52, 75,477 and 29,543.04

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Solution

The fourth proportional to 54,693.52, 75,477 and 29,543.04 is: 40,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693.52 : 75,477 = 29,543.04 : x
  2. Step 2: Convert to fraction form
    54,693.52/75,477 = 29,543.04/x
  3. Step 3: Cross multiply
    54,693.52x = 75,477 × 29,543.04
  4. Step 4: Simplify right side
    54,693.52x = 2,229,820,030.08
  5. Step 5: Solve for x
    x = 2,229,820,030.08/54,693.52
  6. Step 6: Final answer
    x = 40,769.36

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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.