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Finding the Fourth Proportional to 37,312, 55,967.96 and 25,589.68

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Solution

The fourth proportional to 37,312, 55,967.96 and 25,589.68 is: 38,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312 : 55,967.96 = 25,589.68 : x
  2. Step 2: Convert to fraction form
    37,312/55,967.96 = 25,589.68/x
  3. Step 3: Cross multiply
    37,312x = 55,967.96 × 25,589.68
  4. Step 4: Simplify right side
    37,312x = 1,432,202,186.65
  5. Step 5: Solve for x
    x = 1,432,202,186.65/37,312
  6. Step 6: Final answer
    x = 38,384.49

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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.