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Finding the Fourth Proportional to 60,232.57, 83,118.70 and 34,740

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Solution

The fourth proportional to 60,232.57, 83,118.70 and 34,740 is: 47,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,232.57 : 83,118.70 = 34,740 : x
  2. Step 2: Convert to fraction form
    60,232.57/83,118.70 = 34,740/x
  3. Step 3: Cross multiply
    60,232.57x = 83,118.70 × 34,740
  4. Step 4: Simplify right side
    60,232.57x = 2,887,543,681.43
  5. Step 5: Solve for x
    x = 2,887,543,681.43/60,232.57
  6. Step 6: Final answer
    x = 47,939.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.