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Finding the Fourth Proportional to 65,376.72, 98,055.36 and 23,814

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Solution

The fourth proportional to 65,376.72, 98,055.36 and 23,814 is: 35,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,376.72 : 98,055.36 = 23,814 : x
  2. Step 2: Convert to fraction form
    65,376.72/98,055.36 = 23,814/x
  3. Step 3: Cross multiply
    65,376.72x = 98,055.36 × 23,814
  4. Step 4: Simplify right side
    65,376.72x = 2,335,090,343.04
  5. Step 5: Solve for x
    x = 2,335,090,343.04/65,376.72
  6. Step 6: Final answer
    x = 35,717.46

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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.