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Finding the Fourth Proportional to 65,949.15, 91,014.29 and 37,258.86

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Solution

The fourth proportional to 65,949.15, 91,014.29 and 37,258.86 is: 51,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,949.15 : 91,014.29 = 37,258.86 : x
  2. Step 2: Convert to fraction form
    65,949.15/91,014.29 = 37,258.86/x
  3. Step 3: Cross multiply
    65,949.15x = 91,014.29 × 37,258.86
  4. Step 4: Simplify right side
    65,949.15x = 3,391,088,689.11
  5. Step 5: Solve for x
    x = 3,391,088,689.11/65,949.15
  6. Step 6: Final answer
    x = 51,419.75

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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.