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Finding the Fourth Proportional to 75,644.66, 113,483.84 and 23,058.24

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Solution

The fourth proportional to 75,644.66, 113,483.84 and 23,058.24 is: 34,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,644.66 : 113,483.84 = 23,058.24 : x
  2. Step 2: Convert to fraction form
    75,644.66/113,483.84 = 23,058.24/x
  3. Step 3: Cross multiply
    75,644.66x = 113,483.84 × 23,058.24
  4. Step 4: Simplify right side
    75,644.66x = 2,616,737,503.55
  5. Step 5: Solve for x
    x = 2,616,737,503.55/75,644.66
  6. Step 6: Final answer
    x = 34,592.50

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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.