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Finding the Fourth Proportional to 37,978.07, 56,971.65 and 15,806.44

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Solution

The fourth proportional to 37,978.07, 56,971.65 and 15,806.44 is: 23,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.07 : 56,971.65 = 15,806.44 : x
  2. Step 2: Convert to fraction form
    37,978.07/56,971.65 = 15,806.44/x
  3. Step 3: Cross multiply
    37,978.07x = 56,971.65 × 15,806.44
  4. Step 4: Simplify right side
    37,978.07x = 900,518,967.43
  5. Step 5: Solve for x
    x = 900,518,967.43/37,978.07
  6. Step 6: Final answer
    x = 23,711.55

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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.