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Finding the Fourth Proportional to 65,212.96, 97,838.94 and 37,491.52

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Solution

The fourth proportional to 65,212.96, 97,838.94 and 37,491.52 is: 56,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.96 : 97,838.94 = 37,491.52 : x
  2. Step 2: Convert to fraction form
    65,212.96/97,838.94 = 37,491.52/x
  3. Step 3: Cross multiply
    65,212.96x = 97,838.94 × 37,491.52
  4. Step 4: Simplify right side
    65,212.96x = 3,668,130,575.79
  5. Step 5: Solve for x
    x = 3,668,130,575.79/65,212.96
  6. Step 6: Final answer
    x = 56,248.49

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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.