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Finding the Fourth Proportional to 65,530.69, 90,432.38 and 37,236.38

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Solution

The fourth proportional to 65,530.69, 90,432.38 and 37,236.38 is: 51,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530.69 : 90,432.38 = 37,236.38 : x
  2. Step 2: Convert to fraction form
    65,530.69/90,432.38 = 37,236.38/x
  3. Step 3: Cross multiply
    65,530.69x = 90,432.38 × 37,236.38
  4. Step 4: Simplify right side
    65,530.69x = 3,367,374,106.91
  5. Step 5: Solve for x
    x = 3,367,374,106.91/65,530.69
  6. Step 6: Final answer
    x = 51,386.22

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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.