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Finding the Fourth Proportional to 83,018.70, 114,567.12 and 45,292.95

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Solution

The fourth proportional to 83,018.70, 114,567.12 and 45,292.95 is: 62,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.70 : 114,567.12 = 45,292.95 : x
  2. Step 2: Convert to fraction form
    83,018.70/114,567.12 = 45,292.95/x
  3. Step 3: Cross multiply
    83,018.70x = 114,567.12 × 45,292.95
  4. Step 4: Simplify right side
    83,018.70x = 5,189,082,837.80
  5. Step 5: Solve for x
    x = 5,189,082,837.80/83,018.70
  6. Step 6: Final answer
    x = 62,504.99

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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.