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Finding the Fourth Proportional to 89,024, 122,853.12 and 49,280

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Solution

The fourth proportional to 89,024, 122,853.12 and 49,280 is: 68,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,024 : 122,853.12 = 49,280 : x
  2. Step 2: Convert to fraction form
    89,024/122,853.12 = 49,280/x
  3. Step 3: Cross multiply
    89,024x = 122,853.12 × 49,280
  4. Step 4: Simplify right side
    89,024x = 6,054,201,753.60
  5. Step 5: Solve for x
    x = 6,054,201,753.60/89,024
  6. Step 6: Final answer
    x = 68,006.40

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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.