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Finding the Fourth Proportional to 59,309.34, 89,002.89 and 21,870.06

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Solution

The fourth proportional to 59,309.34, 89,002.89 and 21,870.06 is: 32,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,309.34 : 89,002.89 = 21,870.06 : x
  2. Step 2: Convert to fraction form
    59,309.34/89,002.89 = 21,870.06/x
  3. Step 3: Cross multiply
    59,309.34x = 89,002.89 × 21,870.06
  4. Step 4: Simplify right side
    59,309.34x = 1,946,498,544.47
  5. Step 5: Solve for x
    x = 1,946,498,544.47/59,309.34
  6. Step 6: Final answer
    x = 32,819.43

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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.