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Finding the Fourth Proportional to 65,351.12, 97,868.79 and 37,185.84

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Solution

The fourth proportional to 65,351.12, 97,868.79 and 37,185.84 is: 55,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,351.12 : 97,868.79 = 37,185.84 : x
  2. Step 2: Convert to fraction form
    65,351.12/97,868.79 = 37,185.84/x
  3. Step 3: Cross multiply
    65,351.12x = 97,868.79 × 37,185.84
  4. Step 4: Simplify right side
    65,351.12x = 3,639,333,165.93
  5. Step 5: Solve for x
    x = 3,639,333,165.93/65,351.12
  6. Step 6: Final answer
    x = 55,688.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.