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Finding the Fourth Proportional to 37,292, 51,462.96 and 22,388

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Solution

The fourth proportional to 37,292, 51,462.96 and 22,388 is: 30,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,292 : 51,462.96 = 22,388 : x
  2. Step 2: Convert to fraction form
    37,292/51,462.96 = 22,388/x
  3. Step 3: Cross multiply
    37,292x = 51,462.96 × 22,388
  4. Step 4: Simplify right side
    37,292x = 1,152,152,748.48
  5. Step 5: Solve for x
    x = 1,152,152,748.48/37,292
  6. Step 6: Final answer
    x = 30,895.44

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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.