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Finding the Fourth Proportional to 32,521.68, 44,911.80 and 27,778.32

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Solution

The fourth proportional to 32,521.68, 44,911.80 and 27,778.32 is: 38,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.68 : 44,911.80 = 27,778.32 : x
  2. Step 2: Convert to fraction form
    32,521.68/44,911.80 = 27,778.32/x
  3. Step 3: Cross multiply
    32,521.68x = 44,911.80 × 27,778.32
  4. Step 4: Simplify right side
    32,521.68x = 1,247,574,352.18
  5. Step 5: Solve for x
    x = 1,247,574,352.18/32,521.68
  6. Step 6: Final answer
    x = 38,361.31

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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.