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Finding the Fourth Proportional to 59,945, 89,921.82 and 23,009

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Solution

The fourth proportional to 59,945, 89,921.82 and 23,009 is: 34,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,945 : 89,921.82 = 23,009 : x
  2. Step 2: Convert to fraction form
    59,945/89,921.82 = 23,009/x
  3. Step 3: Cross multiply
    59,945x = 89,921.82 × 23,009
  4. Step 4: Simplify right side
    59,945x = 2,069,011,156.38
  5. Step 5: Solve for x
    x = 2,069,011,156.38/59,945
  6. Step 6: Final answer
    x = 34,515.16

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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.