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Finding the Fourth Proportional to 77,693.67, 116,353.57 and 52,657.77

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Solution

The fourth proportional to 77,693.67, 116,353.57 and 52,657.77 is: 78,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.67 : 116,353.57 = 52,657.77 : x
  2. Step 2: Convert to fraction form
    77,693.67/116,353.57 = 52,657.77/x
  3. Step 3: Cross multiply
    77,693.67x = 116,353.57 × 52,657.77
  4. Step 4: Simplify right side
    77,693.67x = 6,126,919,527.74
  5. Step 5: Solve for x
    x = 6,126,919,527.74/77,693.67
  6. Step 6: Final answer
    x = 78,859.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.