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Finding the Fourth Proportional to 65,994.66, 91,073.07 and 35,780.13

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Solution

The fourth proportional to 65,994.66, 91,073.07 and 35,780.13 is: 49,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,994.66 : 91,073.07 = 35,780.13 : x
  2. Step 2: Convert to fraction form
    65,994.66/91,073.07 = 35,780.13/x
  3. Step 3: Cross multiply
    65,994.66x = 91,073.07 × 35,780.13
  4. Step 4: Simplify right side
    65,994.66x = 3,258,606,284.10
  5. Step 5: Solve for x
    x = 3,258,606,284.10/65,994.66
  6. Step 6: Final answer
    x = 49,376.82

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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.