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Finding the Fourth Proportional to 65,172.36, 89,937.54 and 35,364.36

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Solution

The fourth proportional to 65,172.36, 89,937.54 and 35,364.36 is: 48,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.36 : 89,937.54 = 35,364.36 : x
  2. Step 2: Convert to fraction form
    65,172.36/89,937.54 = 35,364.36/x
  3. Step 3: Cross multiply
    65,172.36x = 89,937.54 × 35,364.36
  4. Step 4: Simplify right side
    65,172.36x = 3,180,583,542.07
  5. Step 5: Solve for x
    x = 3,180,583,542.07/65,172.36
  6. Step 6: Final answer
    x = 48,802.64

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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.