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Finding the Fourth Proportional to 36,748, 50,711.84 and 19,980.96

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Solution

The fourth proportional to 36,748, 50,711.84 and 19,980.96 is: 27,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,748 : 50,711.84 = 19,980.96 : x
  2. Step 2: Convert to fraction form
    36,748/50,711.84 = 19,980.96/x
  3. Step 3: Cross multiply
    36,748x = 50,711.84 × 19,980.96
  4. Step 4: Simplify right side
    36,748x = 1,013,271,246.57
  5. Step 5: Solve for x
    x = 1,013,271,246.57/36,748
  6. Step 6: Final answer
    x = 27,573.51

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1.5x scale

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.