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Finding the Fourth Proportional to 77,027.69, 106,293.13 and 43,034.49

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Solution

The fourth proportional to 77,027.69, 106,293.13 and 43,034.49 is: 59,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,027.69 : 106,293.13 = 43,034.49 : x
  2. Step 2: Convert to fraction form
    77,027.69/106,293.13 = 43,034.49/x
  3. Step 3: Cross multiply
    77,027.69x = 106,293.13 × 43,034.49
  4. Step 4: Simplify right side
    77,027.69x = 4,574,270,532.47
  5. Step 5: Solve for x
    x = 4,574,270,532.47/77,027.69
  6. Step 6: Final answer
    x = 59,384.75

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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.