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Finding the Fourth Proportional to 27,861.40, 41,792.10 and 26,565.40

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Solution

The fourth proportional to 27,861.40, 41,792.10 and 26,565.40 is: 39,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.40 : 41,792.10 = 26,565.40 : x
  2. Step 2: Convert to fraction form
    27,861.40/41,792.10 = 26,565.40/x
  3. Step 3: Cross multiply
    27,861.40x = 41,792.10 × 26,565.40
  4. Step 4: Simplify right side
    27,861.40x = 1,110,223,853.34
  5. Step 5: Solve for x
    x = 1,110,223,853.34/27,861.40
  6. Step 6: Final answer
    x = 39,848.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.