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Finding the Fourth Proportional to 62,154, 85,774.32 and 35,298

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Solution

The fourth proportional to 62,154, 85,774.32 and 35,298 is: 48,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,154 : 85,774.32 = 35,298 : x
  2. Step 2: Convert to fraction form
    62,154/85,774.32 = 35,298/x
  3. Step 3: Cross multiply
    62,154x = 85,774.32 × 35,298
  4. Step 4: Simplify right side
    62,154x = 3,027,661,947.36
  5. Step 5: Solve for x
    x = 3,027,661,947.36/62,154
  6. Step 6: Final answer
    x = 48,712.26

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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.