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Finding the Fourth Proportional to 38,103.42, 52,569.74 and 22,184.48

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Solution

The fourth proportional to 38,103.42, 52,569.74 and 22,184.48 is: 30,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,103.42 : 52,569.74 = 22,184.48 : x
  2. Step 2: Convert to fraction form
    38,103.42/52,569.74 = 22,184.48/x
  3. Step 3: Cross multiply
    38,103.42x = 52,569.74 × 22,184.48
  4. Step 4: Simplify right side
    38,103.42x = 1,166,232,345.64
  5. Step 5: Solve for x
    x = 1,166,232,345.64/38,103.42
  6. Step 6: Final answer
    x = 30,607.03

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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.