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Finding the Fourth Proportional to 38,408.16, 52,984.98 and 22,482.84

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Solution

The fourth proportional to 38,408.16, 52,984.98 and 22,482.84 is: 31,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.16 : 52,984.98 = 22,482.84 : x
  2. Step 2: Convert to fraction form
    38,408.16/52,984.98 = 22,482.84/x
  3. Step 3: Cross multiply
    38,408.16x = 52,984.98 × 22,482.84
  4. Step 4: Simplify right side
    38,408.16x = 1,191,252,827.74
  5. Step 5: Solve for x
    x = 1,191,252,827.74/38,408.16
  6. Step 6: Final answer
    x = 31,015.62

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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.