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Finding the Fourth Proportional to 64,752.56, 97,142.01 and 27,312.77

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Solution

The fourth proportional to 64,752.56, 97,142.01 and 27,312.77 is: 40,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,752.56 : 97,142.01 = 27,312.77 : x
  2. Step 2: Convert to fraction form
    64,752.56/97,142.01 = 27,312.77/x
  3. Step 3: Cross multiply
    64,752.56x = 97,142.01 × 27,312.77
  4. Step 4: Simplify right side
    64,752.56x = 2,653,217,376.47
  5. Step 5: Solve for x
    x = 2,653,217,376.47/64,752.56
  6. Step 6: Final answer
    x = 40,974.71

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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.