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Finding the Fourth Proportional to 27,641.60, 38,174.32 and 19,050.12

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Solution

The fourth proportional to 27,641.60, 38,174.32 and 19,050.12 is: 26,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.60 : 38,174.32 = 19,050.12 : x
  2. Step 2: Convert to fraction form
    27,641.60/38,174.32 = 19,050.12/x
  3. Step 3: Cross multiply
    27,641.60x = 38,174.32 × 19,050.12
  4. Step 4: Simplify right side
    27,641.60x = 727,225,376.92
  5. Step 5: Solve for x
    x = 727,225,376.92/27,641.60
  6. Step 6: Final answer
    x = 26,309.09

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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.