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Finding the Fourth Proportional to 64,751.56, 97,140.51 and 27,311.77

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Solution

The fourth proportional to 64,751.56, 97,140.51 and 27,311.77 is: 40,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,751.56 : 97,140.51 = 27,311.77 : x
  2. Step 2: Convert to fraction form
    64,751.56/97,140.51 = 27,311.77/x
  3. Step 3: Cross multiply
    64,751.56x = 97,140.51 × 27,311.77
  4. Step 4: Simplify right side
    64,751.56x = 2,653,078,841.81
  5. Step 5: Solve for x
    x = 2,653,078,841.81/64,751.56
  6. Step 6: Final answer
    x = 40,973.21

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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.