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Finding the Fourth Proportional to 35,695.80, 49,260.60 and 19,780.56

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Solution

The fourth proportional to 35,695.80, 49,260.60 and 19,780.56 is: 27,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.80 : 49,260.60 = 19,780.56 : x
  2. Step 2: Convert to fraction form
    35,695.80/49,260.60 = 19,780.56/x
  3. Step 3: Cross multiply
    35,695.80x = 49,260.60 × 19,780.56
  4. Step 4: Simplify right side
    35,695.80x = 974,402,253.94
  5. Step 5: Solve for x
    x = 974,402,253.94/35,695.80
  6. Step 6: Final answer
    x = 27,297.39

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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.