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Finding the Fourth Proportional to 35,843, 49,461 and 19,926.86

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Solution

The fourth proportional to 35,843, 49,461 and 19,926.86 is: 27,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843 : 49,461 = 19,926.86 : x
  2. Step 2: Convert to fraction form
    35,843/49,461 = 19,926.86/x
  3. Step 3: Cross multiply
    35,843x = 49,461 × 19,926.86
  4. Step 4: Simplify right side
    35,843x = 985,602,422.46
  5. Step 5: Solve for x
    x = 985,602,422.46/35,843
  6. Step 6: Final answer
    x = 27,497.77

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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.