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Finding the Fourth Proportional to 97,806.66, 146,764.49 and 52,827.11

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Solution

The fourth proportional to 97,806.66, 146,764.49 and 52,827.11 is: 79,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.66 : 146,764.49 = 52,827.11 : x
  2. Step 2: Convert to fraction form
    97,806.66/146,764.49 = 52,827.11/x
  3. Step 3: Cross multiply
    97,806.66x = 146,764.49 × 52,827.11
  4. Step 4: Simplify right side
    97,806.66x = 7,753,143,490.41
  5. Step 5: Solve for x
    x = 7,753,143,490.41/97,806.66
  6. Step 6: Final answer
    x = 79,270.10

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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.