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Finding the Fourth Proportional to 76,391.85, 105,417.63 and 42,401.76

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Solution

The fourth proportional to 76,391.85, 105,417.63 and 42,401.76 is: 58,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,391.85 : 105,417.63 = 42,401.76 : x
  2. Step 2: Convert to fraction form
    76,391.85/105,417.63 = 42,401.76/x
  3. Step 3: Cross multiply
    76,391.85x = 105,417.63 × 42,401.76
  4. Step 4: Simplify right side
    76,391.85x = 4,469,893,047.03
  5. Step 5: Solve for x
    x = 4,469,893,047.03/76,391.85
  6. Step 6: Final answer
    x = 58,512.70

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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.