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Finding the Fourth Proportional to 77,405.93, 106,824.50 and 58,251.25

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Solution

The fourth proportional to 77,405.93, 106,824.50 and 58,251.25 is: 80,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,405.93 : 106,824.50 = 58,251.25 : x
  2. Step 2: Convert to fraction form
    77,405.93/106,824.50 = 58,251.25/x
  3. Step 3: Cross multiply
    77,405.93x = 106,824.50 × 58,251.25
  4. Step 4: Simplify right side
    77,405.93x = 6,222,660,655.63
  5. Step 5: Solve for x
    x = 6,222,660,655.63/77,405.93
  6. Step 6: Final answer
    x = 80,389.97

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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.