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Finding the Fourth Proportional to 59,823.40, 89,735.10 and 34,891.60

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Solution

The fourth proportional to 59,823.40, 89,735.10 and 34,891.60 is: 52,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,823.40 : 89,735.10 = 34,891.60 : x
  2. Step 2: Convert to fraction form
    59,823.40/89,735.10 = 34,891.60/x
  3. Step 3: Cross multiply
    59,823.40x = 89,735.10 × 34,891.60
  4. Step 4: Simplify right side
    59,823.40x = 3,131,001,215.16
  5. Step 5: Solve for x
    x = 3,131,001,215.16/59,823.40
  6. Step 6: Final answer
    x = 52,337.40

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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.