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Finding the Fourth Proportional to 41,210, 56,869.80 and 22,347.14

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Solution

The fourth proportional to 41,210, 56,869.80 and 22,347.14 is: 30,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,210 : 56,869.80 = 22,347.14 : x
  2. Step 2: Convert to fraction form
    41,210/56,869.80 = 22,347.14/x
  3. Step 3: Cross multiply
    41,210x = 56,869.80 × 22,347.14
  4. Step 4: Simplify right side
    41,210x = 1,270,877,382.37
  5. Step 5: Solve for x
    x = 1,270,877,382.37/41,210
  6. Step 6: Final answer
    x = 30,839.05

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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.