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Finding the Fourth Proportional to 29,846.16, 44,774.34 and 12,306.40

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Solution

The fourth proportional to 29,846.16, 44,774.34 and 12,306.40 is: 18,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.16 : 44,774.34 = 12,306.40 : x
  2. Step 2: Convert to fraction form
    29,846.16/44,774.34 = 12,306.40/x
  3. Step 3: Cross multiply
    29,846.16x = 44,774.34 × 12,306.40
  4. Step 4: Simplify right side
    29,846.16x = 551,010,937.78
  5. Step 5: Solve for x
    x = 551,010,937.78/29,846.16
  6. Step 6: Final answer
    x = 18,461.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.