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Finding the Fourth Proportional to 74,835.50, 112,131.15 and 34,811

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Solution

The fourth proportional to 74,835.50, 112,131.15 and 34,811 is: 52,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,835.50 : 112,131.15 = 34,811 : x
  2. Step 2: Convert to fraction form
    74,835.50/112,131.15 = 34,811/x
  3. Step 3: Cross multiply
    74,835.50x = 112,131.15 × 34,811
  4. Step 4: Simplify right side
    74,835.50x = 3,903,397,462.65
  5. Step 5: Solve for x
    x = 3,903,397,462.65/74,835.50
  6. Step 6: Final answer
    x = 52,159.70

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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.