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Finding the Fourth Proportional to 65,410.88, 98,130.94 and 23,857.88

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Solution

The fourth proportional to 65,410.88, 98,130.94 and 23,857.88 is: 35,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,410.88 : 98,130.94 = 23,857.88 : x
  2. Step 2: Convert to fraction form
    65,410.88/98,130.94 = 23,857.88/x
  3. Step 3: Cross multiply
    65,410.88x = 98,130.94 × 23,857.88
  4. Step 4: Simplify right side
    65,410.88x = 2,341,195,640.51
  5. Step 5: Solve for x
    x = 2,341,195,640.51/65,410.88
  6. Step 6: Final answer
    x = 35,792.15

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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.