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Finding the Fourth Proportional to 65,100.29, 89,838.93 and 35,292.29

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Solution

The fourth proportional to 65,100.29, 89,838.93 and 35,292.29 is: 48,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100.29 : 89,838.93 = 35,292.29 : x
  2. Step 2: Convert to fraction form
    65,100.29/89,838.93 = 35,292.29/x
  3. Step 3: Cross multiply
    65,100.29x = 89,838.93 × 35,292.29
  4. Step 4: Simplify right side
    65,100.29x = 3,170,621,121.66
  5. Step 5: Solve for x
    x = 3,170,621,121.66/65,100.29
  6. Step 6: Final answer
    x = 48,703.64

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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.