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Finding the Fourth Proportional to 37,073.84, 55,341.09 and 34,332.80

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Solution

The fourth proportional to 37,073.84, 55,341.09 and 34,332.80 is: 51,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,073.84 : 55,341.09 = 34,332.80 : x
  2. Step 2: Convert to fraction form
    37,073.84/55,341.09 = 34,332.80/x
  3. Step 3: Cross multiply
    37,073.84x = 55,341.09 × 34,332.80
  4. Step 4: Simplify right side
    37,073.84x = 1,900,014,298.05
  5. Step 5: Solve for x
    x = 1,900,014,298.05/37,073.84
  6. Step 6: Final answer
    x = 51,249.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.