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Finding the Fourth Proportional to 98,276.57, 135,625.43 and 53,564.57

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Solution

The fourth proportional to 98,276.57, 135,625.43 and 53,564.57 is: 73,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,276.57 : 135,625.43 = 53,564.57 : x
  2. Step 2: Convert to fraction form
    98,276.57/135,625.43 = 53,564.57/x
  3. Step 3: Cross multiply
    98,276.57x = 135,625.43 × 53,564.57
  4. Step 4: Simplify right side
    98,276.57x = 7,264,717,571.19
  5. Step 5: Solve for x
    x = 7,264,717,571.19/98,276.57
  6. Step 6: Final answer
    x = 73,921.16

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Why These Related Problems?

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