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Finding the Fourth Proportional to 113,046, 169,572.24 and 29,940

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Solution

The fourth proportional to 113,046, 169,572.24 and 29,940 is: 44,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,046 : 169,572.24 = 29,940 : x
  2. Step 2: Convert to fraction form
    113,046/169,572.24 = 29,940/x
  3. Step 3: Cross multiply
    113,046x = 169,572.24 × 29,940
  4. Step 4: Simplify right side
    113,046x = 5,076,992,865.60
  5. Step 5: Solve for x
    x = 5,076,992,865.60/113,046
  6. Step 6: Final answer
    x = 44,910.86

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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.