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Finding the Fourth Proportional to 37,657.93, 51,967.78 and 20,890.93

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Solution

The fourth proportional to 37,657.93, 51,967.78 and 20,890.93 is: 28,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.93 : 51,967.78 = 20,890.93 : x
  2. Step 2: Convert to fraction form
    37,657.93/51,967.78 = 20,890.93/x
  3. Step 3: Cross multiply
    37,657.93x = 51,967.78 × 20,890.93
  4. Step 4: Simplify right side
    37,657.93x = 1,085,655,254.24
  5. Step 5: Solve for x
    x = 1,085,655,254.24/37,657.93
  6. Step 6: Final answer
    x = 28,829.39

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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.