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Finding the Fourth Proportional to 59,857, 89,798.46 and 22,921

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Solution

The fourth proportional to 59,857, 89,798.46 and 22,921 is: 34,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,857 : 89,798.46 = 22,921 : x
  2. Step 2: Convert to fraction form
    59,857/89,798.46 = 22,921/x
  3. Step 3: Cross multiply
    59,857x = 89,798.46 × 22,921
  4. Step 4: Simplify right side
    59,857x = 2,058,270,501.66
  5. Step 5: Solve for x
    x = 2,058,270,501.66/59,857
  6. Step 6: Final answer
    x = 34,386.46

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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.