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Finding the Fourth Proportional to 70,132.16, 96,783.04 and 39,916

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Solution

The fourth proportional to 70,132.16, 96,783.04 and 39,916 is: 55,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,132.16 : 96,783.04 = 39,916 : x
  2. Step 2: Convert to fraction form
    70,132.16/96,783.04 = 39,916/x
  3. Step 3: Cross multiply
    70,132.16x = 96,783.04 × 39,916
  4. Step 4: Simplify right side
    70,132.16x = 3,863,191,824.64
  5. Step 5: Solve for x
    x = 3,863,191,824.64/70,132.16
  6. Step 6: Final answer
    x = 55,084.46

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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.