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Finding the Fourth Proportional to 59,920, 89,894.40 and 22,984

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Solution

The fourth proportional to 59,920, 89,894.40 and 22,984 is: 34,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,920 : 89,894.40 = 22,984 : x
  2. Step 2: Convert to fraction form
    59,920/89,894.40 = 22,984/x
  3. Step 3: Cross multiply
    59,920x = 89,894.40 × 22,984
  4. Step 4: Simplify right side
    59,920x = 2,066,132,889.60
  5. Step 5: Solve for x
    x = 2,066,132,889.60/59,920
  6. Step 6: Final answer
    x = 34,481.52

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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.