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Finding the Fourth Proportional to 76,556.88, 105,646.38 and 42,564.48

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Solution

The fourth proportional to 76,556.88, 105,646.38 and 42,564.48 is: 58,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,556.88 : 105,646.38 = 42,564.48 : x
  2. Step 2: Convert to fraction form
    76,556.88/105,646.38 = 42,564.48/x
  3. Step 3: Cross multiply
    76,556.88x = 105,646.38 × 42,564.48
  4. Step 4: Simplify right side
    76,556.88x = 4,496,783,228.58
  5. Step 5: Solve for x
    x = 4,496,783,228.58/76,556.88
  6. Step 6: Final answer
    x = 58,737.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.