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Finding the Fourth Proportional to 113,675.31, 170,513.54 and 29,429.57

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Solution

The fourth proportional to 113,675.31, 170,513.54 and 29,429.57 is: 44,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,675.31 : 170,513.54 = 29,429.57 : x
  2. Step 2: Convert to fraction form
    113,675.31/170,513.54 = 29,429.57/x
  3. Step 3: Cross multiply
    113,675.31x = 170,513.54 × 29,429.57
  4. Step 4: Simplify right side
    113,675.31x = 5,018,140,021.81
  5. Step 5: Solve for x
    x = 5,018,140,021.81/113,675.31
  6. Step 6: Final answer
    x = 44,144.50

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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.