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Finding the Fourth Proportional to 76,512.90, 105,588.39 and 42,524.58

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Solution

The fourth proportional to 76,512.90, 105,588.39 and 42,524.58 is: 58,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.90 : 105,588.39 = 42,524.58 : x
  2. Step 2: Convert to fraction form
    76,512.90/105,588.39 = 42,524.58/x
  3. Step 3: Cross multiply
    76,512.90x = 105,588.39 × 42,524.58
  4. Step 4: Simplify right side
    76,512.90x = 4,490,101,937.63
  5. Step 5: Solve for x
    x = 4,490,101,937.63/76,512.90
  6. Step 6: Final answer
    x = 58,684.25

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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.