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Finding the Fourth Proportional to 76,588.88, 105,692.65 and 43,054.88

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Solution

The fourth proportional to 76,588.88, 105,692.65 and 43,054.88 is: 59,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,588.88 : 105,692.65 = 43,054.88 : x
  2. Step 2: Convert to fraction form
    76,588.88/105,692.65 = 43,054.88/x
  3. Step 3: Cross multiply
    76,588.88x = 105,692.65 × 43,054.88
  4. Step 4: Simplify right side
    76,588.88x = 4,550,583,726.53
  5. Step 5: Solve for x
    x = 4,550,583,726.53/76,588.88
  6. Step 6: Final answer
    x = 59,415.73

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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.