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Finding the Fourth Proportional to 35,842.88, 49,463.44 and 22,421.77

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Solution

The fourth proportional to 35,842.88, 49,463.44 and 22,421.77 is: 30,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.88 : 49,463.44 = 22,421.77 : x
  2. Step 2: Convert to fraction form
    35,842.88/49,463.44 = 22,421.77/x
  3. Step 3: Cross multiply
    35,842.88x = 49,463.44 × 22,421.77
  4. Step 4: Simplify right side
    35,842.88x = 1,109,057,695.38
  5. Step 5: Solve for x
    x = 1,109,057,695.38/35,842.88
  6. Step 6: Final answer
    x = 30,942.20

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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.