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Finding the Fourth Proportional to 54,656.32, 75,421.92 and 32,296

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Solution

The fourth proportional to 54,656.32, 75,421.92 and 32,296 is: 44,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656.32 : 75,421.92 = 32,296 : x
  2. Step 2: Convert to fraction form
    54,656.32/75,421.92 = 32,296/x
  3. Step 3: Cross multiply
    54,656.32x = 75,421.92 × 32,296
  4. Step 4: Simplify right side
    54,656.32x = 2,435,826,328.32
  5. Step 5: Solve for x
    x = 2,435,826,328.32/54,656.32
  6. Step 6: Final answer
    x = 44,566.23

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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.