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Finding the Fourth Proportional to 77,971.84, 107,601.08 and 42,161.54

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Solution

The fourth proportional to 77,971.84, 107,601.08 and 42,161.54 is: 58,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.84 : 107,601.08 = 42,161.54 : x
  2. Step 2: Convert to fraction form
    77,971.84/107,601.08 = 42,161.54/x
  3. Step 3: Cross multiply
    77,971.84x = 107,601.08 × 42,161.54
  4. Step 4: Simplify right side
    77,971.84x = 4,536,626,489.65
  5. Step 5: Solve for x
    x = 4,536,626,489.65/77,971.84
  6. Step 6: Final answer
    x = 58,182.89

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1.5x scale

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.