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Finding the Fourth Proportional to 83,008.92, 114,565.14 and 49,021.08

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Solution

The fourth proportional to 83,008.92, 114,565.14 and 49,021.08 is: 67,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.92 : 114,565.14 = 49,021.08 : x
  2. Step 2: Convert to fraction form
    83,008.92/114,565.14 = 49,021.08/x
  3. Step 3: Cross multiply
    83,008.92x = 114,565.14 × 49,021.08
  4. Step 4: Simplify right side
    83,008.92x = 5,616,106,893.15
  5. Step 5: Solve for x
    x = 5,616,106,893.15/83,008.92
  6. Step 6: Final answer
    x = 67,656.67

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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.