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Finding the Fourth Proportional to 37,214.42, 51,355.62 and 20,218.50

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Solution

The fourth proportional to 37,214.42, 51,355.62 and 20,218.50 is: 27,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214.42 : 51,355.62 = 20,218.50 : x
  2. Step 2: Convert to fraction form
    37,214.42/51,355.62 = 20,218.50/x
  3. Step 3: Cross multiply
    37,214.42x = 51,355.62 × 20,218.50
  4. Step 4: Simplify right side
    37,214.42x = 1,038,333,602.97
  5. Step 5: Solve for x
    x = 1,038,333,602.97/37,214.42
  6. Step 6: Final answer
    x = 27,901.38

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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.