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Finding the Fourth Proportional to 65,378.39, 97,974.02 and 37,240.35

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Solution

The fourth proportional to 65,378.39, 97,974.02 and 37,240.35 is: 55,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.39 : 97,974.02 = 37,240.35 : x
  2. Step 2: Convert to fraction form
    65,378.39/97,974.02 = 37,240.35/x
  3. Step 3: Cross multiply
    65,378.39x = 97,974.02 × 37,240.35
  4. Step 4: Simplify right side
    65,378.39x = 3,648,586,609.51
  5. Step 5: Solve for x
    x = 3,648,586,609.51/65,378.39
  6. Step 6: Final answer
    x = 55,807.23

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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.