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Finding the Fourth Proportional to 35,697.52, 49,262.93 and 19,782.31

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Solution

The fourth proportional to 35,697.52, 49,262.93 and 19,782.31 is: 27,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.52 : 49,262.93 = 19,782.31 : x
  2. Step 2: Convert to fraction form
    35,697.52/49,262.93 = 19,782.31/x
  3. Step 3: Cross multiply
    35,697.52x = 49,262.93 × 19,782.31
  4. Step 4: Simplify right side
    35,697.52x = 974,534,552.77
  5. Step 5: Solve for x
    x = 974,534,552.77/35,697.52
  6. Step 6: Final answer
    x = 27,299.78

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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.