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Finding the Fourth Proportional to 89,023, 122,851.74 and 49,279

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Solution

The fourth proportional to 89,023, 122,851.74 and 49,279 is: 68,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,023 : 122,851.74 = 49,279 : x
  2. Step 2: Convert to fraction form
    89,023/122,851.74 = 49,279/x
  3. Step 3: Cross multiply
    89,023x = 122,851.74 × 49,279
  4. Step 4: Simplify right side
    89,023x = 6,054,010,895.46
  5. Step 5: Solve for x
    x = 6,054,010,895.46/89,023
  6. Step 6: Final answer
    x = 68,005.02

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Why These Related Problems?

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