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Finding the Fourth Proportional to 29,878.60, 44,822.49 and 10,152.54

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Solution

The fourth proportional to 29,878.60, 44,822.49 and 10,152.54 is: 15,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.60 : 44,822.49 = 10,152.54 : x
  2. Step 2: Convert to fraction form
    29,878.60/44,822.49 = 10,152.54/x
  3. Step 3: Cross multiply
    29,878.60x = 44,822.49 × 10,152.54
  4. Step 4: Simplify right side
    29,878.60x = 455,062,113.11
  5. Step 5: Solve for x
    x = 455,062,113.11/29,878.60
  6. Step 6: Final answer
    x = 15,230.37

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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.