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Finding the Fourth Proportional to 64,811.52, 97,148.16 and 27,363.84

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Solution

The fourth proportional to 64,811.52, 97,148.16 and 27,363.84 is: 41,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,811.52 : 97,148.16 = 27,363.84 : x
  2. Step 2: Convert to fraction form
    64,811.52/97,148.16 = 27,363.84/x
  3. Step 3: Cross multiply
    64,811.52x = 97,148.16 × 27,363.84
  4. Step 4: Simplify right side
    64,811.52x = 2,658,346,706.53
  5. Step 5: Solve for x
    x = 2,658,346,706.53/64,811.52
  6. Step 6: Final answer
    x = 41,016.58

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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.