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Finding the Fourth Proportional to 37,441, 51,674.34 and 22,545.64

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Solution

The fourth proportional to 37,441, 51,674.34 and 22,545.64 is: 31,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,441 : 51,674.34 = 22,545.64 : x
  2. Step 2: Convert to fraction form
    37,441/51,674.34 = 22,545.64/x
  3. Step 3: Cross multiply
    37,441x = 51,674.34 × 22,545.64
  4. Step 4: Simplify right side
    37,441x = 1,165,031,066.88
  5. Step 5: Solve for x
    x = 1,165,031,066.88/37,441
  6. Step 6: Final answer
    x = 31,116.45

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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.