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Finding the Fourth Proportional to 39,184.08, 54,073.06 and 22,416

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Solution

The fourth proportional to 39,184.08, 54,073.06 and 22,416 is: 30,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184.08 : 54,073.06 = 22,416 : x
  2. Step 2: Convert to fraction form
    39,184.08/54,073.06 = 22,416/x
  3. Step 3: Cross multiply
    39,184.08x = 54,073.06 × 22,416
  4. Step 4: Simplify right side
    39,184.08x = 1,212,101,712.96
  5. Step 5: Solve for x
    x = 1,212,101,712.96/39,184.08
  6. Step 6: Final answer
    x = 30,933.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.