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Finding the Fourth Proportional to 54,762.76, 75,584.40 and 34,606.84

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Solution

The fourth proportional to 54,762.76, 75,584.40 and 34,606.84 is: 47,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762.76 : 75,584.40 = 34,606.84 : x
  2. Step 2: Convert to fraction form
    54,762.76/75,584.40 = 34,606.84/x
  3. Step 3: Cross multiply
    54,762.76x = 75,584.40 × 34,606.84
  4. Step 4: Simplify right side
    54,762.76x = 2,615,737,237.30
  5. Step 5: Solve for x
    x = 2,615,737,237.30/54,762.76
  6. Step 6: Final answer
    x = 47,764.89

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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.