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Finding the Fourth Proportional to 65,146.30, 97,733.78 and 37,079.56

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Solution

The fourth proportional to 65,146.30, 97,733.78 and 37,079.56 is: 55,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.30 : 97,733.78 = 37,079.56 : x
  2. Step 2: Convert to fraction form
    65,146.30/97,733.78 = 37,079.56/x
  3. Step 3: Cross multiply
    65,146.30x = 97,733.78 × 37,079.56
  4. Step 4: Simplify right side
    65,146.30x = 3,623,925,559.54
  5. Step 5: Solve for x
    x = 3,623,925,559.54/65,146.30
  6. Step 6: Final answer
    x = 55,627.50

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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.