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Finding the Fourth Proportional to 35,782.41, 49,381.98 and 19,867.14

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Solution

The fourth proportional to 35,782.41, 49,381.98 and 19,867.14 is: 27,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.41 : 49,381.98 = 19,867.14 : x
  2. Step 2: Convert to fraction form
    35,782.41/49,381.98 = 19,867.14/x
  3. Step 3: Cross multiply
    35,782.41x = 49,381.98 × 19,867.14
  4. Step 4: Simplify right side
    35,782.41x = 981,078,710.14
  5. Step 5: Solve for x
    x = 981,078,710.14/35,782.41
  6. Step 6: Final answer
    x = 27,417.90

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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.