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Finding the Fourth Proportional to 72,314.82, 108,548.91 and 64,048.50

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Solution

The fourth proportional to 72,314.82, 108,548.91 and 64,048.50 is: 96,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.82 : 108,548.91 = 64,048.50 : x
  2. Step 2: Convert to fraction form
    72,314.82/108,548.91 = 64,048.50/x
  3. Step 3: Cross multiply
    72,314.82x = 108,548.91 × 64,048.50
  4. Step 4: Simplify right side
    72,314.82x = 6,952,394,862.14
  5. Step 5: Solve for x
    x = 6,952,394,862.14/72,314.82
  6. Step 6: Final answer
    x = 96,140.66

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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.