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Finding the Fourth Proportional to 104,832, 157,335.48 and 49,428

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Solution

The fourth proportional to 104,832, 157,335.48 and 49,428 is: 74,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,832 : 157,335.48 = 49,428 : x
  2. Step 2: Convert to fraction form
    104,832/157,335.48 = 49,428/x
  3. Step 3: Cross multiply
    104,832x = 157,335.48 × 49,428
  4. Step 4: Simplify right side
    104,832x = 7,776,778,105.44
  5. Step 5: Solve for x
    x = 7,776,778,105.44/104,832
  6. Step 6: Final answer
    x = 74,183.25

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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.