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Finding the Fourth Proportional to 37,381.50, 56,084.40 and 26,148.42

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Solution

The fourth proportional to 37,381.50, 56,084.40 and 26,148.42 is: 39,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,381.50 : 56,084.40 = 26,148.42 : x
  2. Step 2: Convert to fraction form
    37,381.50/56,084.40 = 26,148.42/x
  3. Step 3: Cross multiply
    37,381.50x = 56,084.40 × 26,148.42
  4. Step 4: Simplify right side
    37,381.50x = 1,466,518,446.65
  5. Step 5: Solve for x
    x = 1,466,518,446.65/37,381.50
  6. Step 6: Final answer
    x = 39,231.13

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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.