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Finding the Fourth Proportional to 113,083.80, 169,625.70 and 29,977.80

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Solution

The fourth proportional to 113,083.80, 169,625.70 and 29,977.80 is: 44,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,083.80 : 169,625.70 = 29,977.80 : x
  2. Step 2: Convert to fraction form
    113,083.80/169,625.70 = 29,977.80/x
  3. Step 3: Cross multiply
    113,083.80x = 169,625.70 × 29,977.80
  4. Step 4: Simplify right side
    113,083.80x = 5,085,005,309.46
  5. Step 5: Solve for x
    x = 5,085,005,309.46/113,083.80
  6. Step 6: Final answer
    x = 44,966.70

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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.