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Finding the Fourth Proportional to 37,697.84, 52,019.34 and 21,780.08

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Solution

The fourth proportional to 37,697.84, 52,019.34 and 21,780.08 is: 30,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697.84 : 52,019.34 = 21,780.08 : x
  2. Step 2: Convert to fraction form
    37,697.84/52,019.34 = 21,780.08/x
  3. Step 3: Cross multiply
    37,697.84x = 52,019.34 × 21,780.08
  4. Step 4: Simplify right side
    37,697.84x = 1,132,985,386.75
  5. Step 5: Solve for x
    x = 1,132,985,386.75/37,697.84
  6. Step 6: Final answer
    x = 30,054.38

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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.