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Finding the Fourth Proportional to 77,675.42, 116,432.33 and 52,717.50

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Solution

The fourth proportional to 77,675.42, 116,432.33 and 52,717.50 is: 79,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,675.42 : 116,432.33 = 52,717.50 : x
  2. Step 2: Convert to fraction form
    77,675.42/116,432.33 = 52,717.50/x
  3. Step 3: Cross multiply
    77,675.42x = 116,432.33 × 52,717.50
  4. Step 4: Simplify right side
    77,675.42x = 6,138,021,197.49
  5. Step 5: Solve for x
    x = 6,138,021,197.49/77,675.42
  6. Step 6: Final answer
    x = 79,021.41

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