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Finding the Fourth Proportional to 106,992.47, 147,647.80 and 59,244.79

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Solution

The fourth proportional to 106,992.47, 147,647.80 and 59,244.79 is: 81,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.47 : 147,647.80 = 59,244.79 : x
  2. Step 2: Convert to fraction form
    106,992.47/147,647.80 = 59,244.79/x
  3. Step 3: Cross multiply
    106,992.47x = 147,647.80 × 59,244.79
  4. Step 4: Simplify right side
    106,992.47x = 8,747,362,904.96
  5. Step 5: Solve for x
    x = 8,747,362,904.96/106,992.47
  6. Step 6: Final answer
    x = 81,756.81

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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.