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Finding the Fourth Proportional to 65,683.38, 90,645.23 and 35,875.38

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Solution

The fourth proportional to 65,683.38, 90,645.23 and 35,875.38 is: 49,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,683.38 : 90,645.23 = 35,875.38 : x
  2. Step 2: Convert to fraction form
    65,683.38/90,645.23 = 35,875.38/x
  3. Step 3: Cross multiply
    65,683.38x = 90,645.23 × 35,875.38
  4. Step 4: Simplify right side
    65,683.38x = 3,251,932,071.44
  5. Step 5: Solve for x
    x = 3,251,932,071.44/65,683.38
  6. Step 6: Final answer
    x = 49,509.21

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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.