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Finding the Fourth Proportional to 89,096.78, 122,947.08 and 48,804.02

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Solution

The fourth proportional to 89,096.78, 122,947.08 and 48,804.02 is: 67,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,096.78 : 122,947.08 = 48,804.02 : x
  2. Step 2: Convert to fraction form
    89,096.78/122,947.08 = 48,804.02/x
  3. Step 3: Cross multiply
    89,096.78x = 122,947.08 × 48,804.02
  4. Step 4: Simplify right side
    89,096.78x = 6,000,311,751.26
  5. Step 5: Solve for x
    x = 6,000,311,751.26/89,096.78
  6. Step 6: Final answer
    x = 67,346.00

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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.