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Finding the Fourth Proportional to 217,565.76, 326,334.06 and 59,781

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Solution

The fourth proportional to 217,565.76, 326,334.06 and 59,781 is: 89,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,565.76 : 326,334.06 = 59,781 : x
  2. Step 2: Convert to fraction form
    217,565.76/326,334.06 = 59,781/x
  3. Step 3: Cross multiply
    217,565.76x = 326,334.06 × 59,781
  4. Step 4: Simplify right side
    217,565.76x = 19,508,576,440.86
  5. Step 5: Solve for x
    x = 19,508,576,440.86/217,565.76
  6. Step 6: Final answer
    x = 89,667.49

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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.