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Finding the Fourth Proportional to 113,641.68, 170,462.46 and 30,535.68

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Solution

The fourth proportional to 113,641.68, 170,462.46 and 30,535.68 is: 45,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,641.68 : 170,462.46 = 30,535.68 : x
  2. Step 2: Convert to fraction form
    113,641.68/170,462.46 = 30,535.68/x
  3. Step 3: Cross multiply
    113,641.68x = 170,462.46 × 30,535.68
  4. Step 4: Simplify right side
    113,641.68x = 5,205,187,130.57
  5. Step 5: Solve for x
    x = 5,205,187,130.57/113,641.68
  6. Step 6: Final answer
    x = 45,803.50

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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.