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Finding the Fourth Proportional to 52,889.96, 72,976.74 and 30,521

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Solution

The fourth proportional to 52,889.96, 72,976.74 and 30,521 is: 42,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,889.96 : 72,976.74 = 30,521 : x
  2. Step 2: Convert to fraction form
    52,889.96/72,976.74 = 30,521/x
  3. Step 3: Cross multiply
    52,889.96x = 72,976.74 × 30,521
  4. Step 4: Simplify right side
    52,889.96x = 2,227,323,081.54
  5. Step 5: Solve for x
    x = 2,227,323,081.54/52,889.96
  6. Step 6: Final answer
    x = 42,112.40

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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.