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Finding the Fourth Proportional to 35,720.70, 49,298.10 and 19,808.22

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Solution

The fourth proportional to 35,720.70, 49,298.10 and 19,808.22 is: 27,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,720.70 : 49,298.10 = 19,808.22 : x
  2. Step 2: Convert to fraction form
    35,720.70/49,298.10 = 19,808.22/x
  3. Step 3: Cross multiply
    35,720.70x = 49,298.10 × 19,808.22
  4. Step 4: Simplify right side
    35,720.70x = 976,507,610.38
  5. Step 5: Solve for x
    x = 976,507,610.38/35,720.70
  6. Step 6: Final answer
    x = 27,337.30

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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.