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Finding the Fourth Proportional to 37,996.71, 56,978.30 and 20,223.08

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Solution

The fourth proportional to 37,996.71, 56,978.30 and 20,223.08 is: 30,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,996.71 : 56,978.30 = 20,223.08 : x
  2. Step 2: Convert to fraction form
    37,996.71/56,978.30 = 20,223.08/x
  3. Step 3: Cross multiply
    37,996.71x = 56,978.30 × 20,223.08
  4. Step 4: Simplify right side
    37,996.71x = 1,152,276,719.16
  5. Step 5: Solve for x
    x = 1,152,276,719.16/37,996.71
  6. Step 6: Final answer
    x = 30,325.70

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1.5x scale

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.