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Finding the Fourth Proportional to 32,547.86, 44,835.72 and 27,752.18

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Solution

The fourth proportional to 32,547.86, 44,835.72 and 27,752.18 is: 38,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.86 : 44,835.72 = 27,752.18 : x
  2. Step 2: Convert to fraction form
    32,547.86/44,835.72 = 27,752.18/x
  3. Step 3: Cross multiply
    32,547.86x = 44,835.72 × 27,752.18
  4. Step 4: Simplify right side
    32,547.86x = 1,244,288,747.69
  5. Step 5: Solve for x
    x = 1,244,288,747.69/32,547.86
  6. Step 6: Final answer
    x = 38,229.52

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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.