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Finding the Fourth Proportional to 65,238.81, 89,829.36 and 57,126.06

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Solution

The fourth proportional to 65,238.81, 89,829.36 and 57,126.06 is: 78,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.81 : 89,829.36 = 57,126.06 : x
  2. Step 2: Convert to fraction form
    65,238.81/89,829.36 = 57,126.06/x
  3. Step 3: Cross multiply
    65,238.81x = 89,829.36 × 57,126.06
  4. Step 4: Simplify right side
    65,238.81x = 5,131,597,409.12
  5. Step 5: Solve for x
    x = 5,131,597,409.12/65,238.81
  6. Step 6: Final answer
    x = 78,658.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.