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Finding the Fourth Proportional to 54,830.86, 75,662.04 and 32,167.48

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Solution

The fourth proportional to 54,830.86, 75,662.04 and 32,167.48 is: 44,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830.86 : 75,662.04 = 32,167.48 : x
  2. Step 2: Convert to fraction form
    54,830.86/75,662.04 = 32,167.48/x
  3. Step 3: Cross multiply
    54,830.86x = 75,662.04 × 32,167.48
  4. Step 4: Simplify right side
    54,830.86x = 2,433,857,158.46
  5. Step 5: Solve for x
    x = 2,433,857,158.46/54,830.86
  6. Step 6: Final answer
    x = 44,388.45

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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.