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Finding the Fourth Proportional to 89,021, 133,427.74 and 49,559.24

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Solution

The fourth proportional to 89,021, 133,427.74 and 49,559.24 is: 74,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,021 : 133,427.74 = 49,559.24 : x
  2. Step 2: Convert to fraction form
    89,021/133,427.74 = 49,559.24/x
  3. Step 3: Cross multiply
    89,021x = 133,427.74 × 49,559.24
  4. Step 4: Simplify right side
    89,021x = 6,612,577,389.32
  5. Step 5: Solve for x
    x = 6,612,577,389.32/89,021
  6. Step 6: Final answer
    x = 74,281.10

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Why These Related Problems?

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