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Finding the Fourth Proportional to 59,431.60, 89,147.40 and 19,984.60

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Solution

The fourth proportional to 59,431.60, 89,147.40 and 19,984.60 is: 29,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,431.60 : 89,147.40 = 19,984.60 : x
  2. Step 2: Convert to fraction form
    59,431.60/89,147.40 = 19,984.60/x
  3. Step 3: Cross multiply
    59,431.60x = 89,147.40 × 19,984.60
  4. Step 4: Simplify right side
    59,431.60x = 1,781,575,130.04
  5. Step 5: Solve for x
    x = 1,781,575,130.04/59,431.60
  6. Step 6: Final answer
    x = 29,976.90

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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.