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Finding the Fourth Proportional to 37,754.51, 52,100.12 and 20,758.78

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Solution

The fourth proportional to 37,754.51, 52,100.12 and 20,758.78 is: 28,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.51 : 52,100.12 = 20,758.78 : x
  2. Step 2: Convert to fraction form
    37,754.51/52,100.12 = 20,758.78/x
  3. Step 3: Cross multiply
    37,754.51x = 52,100.12 × 20,758.78
  4. Step 4: Simplify right side
    37,754.51x = 1,081,534,564.76
  5. Step 5: Solve for x
    x = 1,081,534,564.76/37,754.51
  6. Step 6: Final answer
    x = 28,646.50

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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.