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Finding the Fourth Proportional to 50,733.48, 76,100.22 and 33,830.76

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Solution

The fourth proportional to 50,733.48, 76,100.22 and 33,830.76 is: 50,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,733.48 : 76,100.22 = 33,830.76 : x
  2. Step 2: Convert to fraction form
    50,733.48/76,100.22 = 33,830.76/x
  3. Step 3: Cross multiply
    50,733.48x = 76,100.22 × 33,830.76
  4. Step 4: Simplify right side
    50,733.48x = 2,574,528,278.77
  5. Step 5: Solve for x
    x = 2,574,528,278.77/50,733.48
  6. Step 6: Final answer
    x = 50,746.14

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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.