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Finding the Fourth Proportional to 35,646.88, 49,192.10 and 19,731

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Solution

The fourth proportional to 35,646.88, 49,192.10 and 19,731 is: 27,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.88 : 49,192.10 = 19,731 : x
  2. Step 2: Convert to fraction form
    35,646.88/49,192.10 = 19,731/x
  3. Step 3: Cross multiply
    35,646.88x = 49,192.10 × 19,731
  4. Step 4: Simplify right side
    35,646.88x = 970,609,325.10
  5. Step 5: Solve for x
    x = 970,609,325.10/35,646.88
  6. Step 6: Final answer
    x = 27,228.45

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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.