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Finding the Fourth Proportional to 82,906.60, 124,384.12 and 26,745.46

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Solution

The fourth proportional to 82,906.60, 124,384.12 and 26,745.46 is: 40,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.60 : 124,384.12 = 26,745.46 : x
  2. Step 2: Convert to fraction form
    82,906.60/124,384.12 = 26,745.46/x
  3. Step 3: Cross multiply
    82,906.60x = 124,384.12 × 26,745.46
  4. Step 4: Simplify right side
    82,906.60x = 3,326,710,506.10
  5. Step 5: Solve for x
    x = 3,326,710,506.10/82,906.60
  6. Step 6: Final answer
    x = 40,126.00

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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.