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Finding the Fourth Proportional to 65,206.32, 97,743.31 and 37,068.23

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Solution

The fourth proportional to 65,206.32, 97,743.31 and 37,068.23 is: 55,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.32 : 97,743.31 = 37,068.23 : x
  2. Step 2: Convert to fraction form
    65,206.32/97,743.31 = 37,068.23/x
  3. Step 3: Cross multiply
    65,206.32x = 97,743.31 × 37,068.23
  4. Step 4: Simplify right side
    65,206.32x = 3,623,171,496.04
  5. Step 5: Solve for x
    x = 3,623,171,496.04/65,206.32
  6. Step 6: Final answer
    x = 55,564.73

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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.