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Finding the Fourth Proportional to 66,563.52, 99,795.96 and 31,462.16

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Solution

The fourth proportional to 66,563.52, 99,795.96 and 31,462.16 is: 47,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,563.52 : 99,795.96 = 31,462.16 : x
  2. Step 2: Convert to fraction form
    66,563.52/99,795.96 = 31,462.16/x
  3. Step 3: Cross multiply
    66,563.52x = 99,795.96 × 31,462.16
  4. Step 4: Simplify right side
    66,563.52x = 3,139,796,460.87
  5. Step 5: Solve for x
    x = 3,139,796,460.87/66,563.52
  6. Step 6: Final answer
    x = 47,169.93

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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.