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Finding the Fourth Proportional to 32,032.96, 44,181.16 and 27,564.20

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Solution

The fourth proportional to 32,032.96, 44,181.16 and 27,564.20 is: 38,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.96 : 44,181.16 = 27,564.20 : x
  2. Step 2: Convert to fraction form
    32,032.96/44,181.16 = 27,564.20/x
  3. Step 3: Cross multiply
    32,032.96x = 44,181.16 × 27,564.20
  4. Step 4: Simplify right side
    32,032.96x = 1,217,818,330.47
  5. Step 5: Solve for x
    x = 1,217,818,330.47/32,032.96
  6. Step 6: Final answer
    x = 38,017.66

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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.