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Finding the Fourth Proportional to 65,212.46, 97,838.19 and 37,491.02

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Solution

The fourth proportional to 65,212.46, 97,838.19 and 37,491.02 is: 56,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.46 : 97,838.19 = 37,491.02 : x
  2. Step 2: Convert to fraction form
    65,212.46/97,838.19 = 37,491.02/x
  3. Step 3: Cross multiply
    65,212.46x = 97,838.19 × 37,491.02
  4. Step 4: Simplify right side
    65,212.46x = 3,668,053,538.05
  5. Step 5: Solve for x
    x = 3,668,053,538.05/65,212.46
  6. Step 6: Final answer
    x = 56,247.74

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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.