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Finding the Fourth Proportional to 70,164, 96,826.32 and 40,356

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Solution

The fourth proportional to 70,164, 96,826.32 and 40,356 is: 55,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164 : 96,826.32 = 40,356 : x
  2. Step 2: Convert to fraction form
    70,164/96,826.32 = 40,356/x
  3. Step 3: Cross multiply
    70,164x = 96,826.32 × 40,356
  4. Step 4: Simplify right side
    70,164x = 3,907,522,969.92
  5. Step 5: Solve for x
    x = 3,907,522,969.92/70,164
  6. Step 6: Final answer
    x = 55,691.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.