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Finding the Fourth Proportional to 77,233, 106,669.02 and 52,038.76

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Solution

The fourth proportional to 77,233, 106,669.02 and 52,038.76 is: 71,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,233 : 106,669.02 = 52,038.76 : x
  2. Step 2: Convert to fraction form
    77,233/106,669.02 = 52,038.76/x
  3. Step 3: Cross multiply
    77,233x = 106,669.02 × 52,038.76
  4. Step 4: Simplify right side
    77,233x = 5,550,923,531.22
  5. Step 5: Solve for x
    x = 5,550,923,531.22/77,233
  6. Step 6: Final answer
    x = 71,872.43

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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.