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Finding the Fourth Proportional to 37,876.70, 52,319.32 and 30,733.32

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Solution

The fourth proportional to 37,876.70, 52,319.32 and 30,733.32 is: 42,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,876.70 : 52,319.32 = 30,733.32 : x
  2. Step 2: Convert to fraction form
    37,876.70/52,319.32 = 30,733.32/x
  3. Step 3: Cross multiply
    37,876.70x = 52,319.32 × 30,733.32
  4. Step 4: Simplify right side
    37,876.70x = 1,607,946,403.74
  5. Step 5: Solve for x
    x = 1,607,946,403.74/37,876.70
  6. Step 6: Final answer
    x = 42,452.13

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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.