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Finding the Fourth Proportional to 117,628.48, 176,404.32 and 38,724.16

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Solution

The fourth proportional to 117,628.48, 176,404.32 and 38,724.16 is: 58,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,628.48 : 176,404.32 = 38,724.16 : x
  2. Step 2: Convert to fraction form
    117,628.48/176,404.32 = 38,724.16/x
  3. Step 3: Cross multiply
    117,628.48x = 176,404.32 × 38,724.16
  4. Step 4: Simplify right side
    117,628.48x = 6,831,109,112.37
  5. Step 5: Solve for x
    x = 6,831,109,112.37/117,628.48
  6. Step 6: Final answer
    x = 58,073.60

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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.