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Finding the Fourth Proportional to 65,041.02, 89,756.31 and 35,233.02

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Solution

The fourth proportional to 65,041.02, 89,756.31 and 35,233.02 is: 48,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.02 : 89,756.31 = 35,233.02 : x
  2. Step 2: Convert to fraction form
    65,041.02/89,756.31 = 35,233.02/x
  3. Step 3: Cross multiply
    65,041.02x = 89,756.31 × 35,233.02
  4. Step 4: Simplify right side
    65,041.02x = 3,162,385,865.36
  5. Step 5: Solve for x
    x = 3,162,385,865.36/65,041.02
  6. Step 6: Final answer
    x = 48,621.41

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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.