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Finding the Fourth Proportional to 89,184.56, 123,076.08 and 48,902

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Solution

The fourth proportional to 89,184.56, 123,076.08 and 48,902 is: 67,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,184.56 : 123,076.08 = 48,902 : x
  2. Step 2: Convert to fraction form
    89,184.56/123,076.08 = 48,902/x
  3. Step 3: Cross multiply
    89,184.56x = 123,076.08 × 48,902
  4. Step 4: Simplify right side
    89,184.56x = 6,018,666,464.16
  5. Step 5: Solve for x
    x = 6,018,666,464.16/89,184.56
  6. Step 6: Final answer
    x = 67,485.52

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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.