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Finding the Fourth Proportional to 77,898.34, 107,497.16 and 49,233.38

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Solution

The fourth proportional to 77,898.34, 107,497.16 and 49,233.38 is: 67,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,898.34 : 107,497.16 = 49,233.38 : x
  2. Step 2: Convert to fraction form
    77,898.34/107,497.16 = 49,233.38/x
  3. Step 3: Cross multiply
    77,898.34x = 107,497.16 × 49,233.38
  4. Step 4: Simplify right side
    77,898.34x = 5,292,448,527.20
  5. Step 5: Solve for x
    x = 5,292,448,527.20/77,898.34
  6. Step 6: Final answer
    x = 67,940.45

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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.