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Finding the Fourth Proportional to 65,384.39, 97,983.02 and 37,246.34

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Solution

The fourth proportional to 65,384.39, 97,983.02 and 37,246.34 is: 55,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.39 : 97,983.02 = 37,246.34 : x
  2. Step 2: Convert to fraction form
    65,384.39/97,983.02 = 37,246.34/x
  3. Step 3: Cross multiply
    65,384.39x = 97,983.02 × 37,246.34
  4. Step 4: Simplify right side
    65,384.39x = 3,649,509,215.22
  5. Step 5: Solve for x
    x = 3,649,509,215.22/65,384.39
  6. Step 6: Final answer
    x = 55,816.21

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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.