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Finding the Fourth Proportional to 65,689.24, 90,658.38 and 37,390.36

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Solution

The fourth proportional to 65,689.24, 90,658.38 and 37,390.36 is: 51,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.24 : 90,658.38 = 37,390.36 : x
  2. Step 2: Convert to fraction form
    65,689.24/90,658.38 = 37,390.36/x
  3. Step 3: Cross multiply
    65,689.24x = 90,658.38 × 37,390.36
  4. Step 4: Simplify right side
    65,689.24x = 3,389,749,465.22
  5. Step 5: Solve for x
    x = 3,389,749,465.22/65,689.24
  6. Step 6: Final answer
    x = 51,602.81

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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.