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Finding the Fourth Proportional to 59,950, 89,929.32 and 23,014

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Solution

The fourth proportional to 59,950, 89,929.32 and 23,014 is: 34,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,950 : 89,929.32 = 23,014 : x
  2. Step 2: Convert to fraction form
    59,950/89,929.32 = 23,014/x
  3. Step 3: Cross multiply
    59,950x = 89,929.32 × 23,014
  4. Step 4: Simplify right side
    59,950x = 2,069,633,370.48
  5. Step 5: Solve for x
    x = 2,069,633,370.48/59,950
  6. Step 6: Final answer
    x = 34,522.66

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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.