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Finding the Fourth Proportional to 40,413, 55,771.67 and 22,508

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Solution

The fourth proportional to 40,413, 55,771.67 and 22,508 is: 31,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,413 : 55,771.67 = 22,508 : x
  2. Step 2: Convert to fraction form
    40,413/55,771.67 = 22,508/x
  3. Step 3: Cross multiply
    40,413x = 55,771.67 × 22,508
  4. Step 4: Simplify right side
    40,413x = 1,255,308,748.36
  5. Step 5: Solve for x
    x = 1,255,308,748.36/40,413
  6. Step 6: Final answer
    x = 31,062.00

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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.