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Finding the Fourth Proportional to 82,862.68, 114,355.40 and 62,408.68

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Solution

The fourth proportional to 82,862.68, 114,355.40 and 62,408.68 is: 86,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862.68 : 114,355.40 = 62,408.68 : x
  2. Step 2: Convert to fraction form
    82,862.68/114,355.40 = 62,408.68/x
  3. Step 3: Cross multiply
    82,862.68x = 114,355.40 × 62,408.68
  4. Step 4: Simplify right side
    82,862.68x = 7,136,769,564.87
  5. Step 5: Solve for x
    x = 7,136,769,564.87/82,862.68
  6. Step 6: Final answer
    x = 86,127.67

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Why These Related Problems?

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