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Finding the Fourth Proportional to 97,856.75, 146,785.13 and 23,984.75

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Solution

The fourth proportional to 97,856.75, 146,785.13 and 23,984.75 is: 35,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,856.75 : 146,785.13 = 23,984.75 : x
  2. Step 2: Convert to fraction form
    97,856.75/146,785.13 = 23,984.75/x
  3. Step 3: Cross multiply
    97,856.75x = 146,785.13 × 23,984.75
  4. Step 4: Simplify right side
    97,856.75x = 3,520,604,646.77
  5. Step 5: Solve for x
    x = 3,520,604,646.77/97,856.75
  6. Step 6: Final answer
    x = 35,977.13

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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.