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Finding the Fourth Proportional to 37,338.96, 51,527.76 and 20,572

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Solution

The fourth proportional to 37,338.96, 51,527.76 and 20,572 is: 28,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,338.96 : 51,527.76 = 20,572 : x
  2. Step 2: Convert to fraction form
    37,338.96/51,527.76 = 20,572/x
  3. Step 3: Cross multiply
    37,338.96x = 51,527.76 × 20,572
  4. Step 4: Simplify right side
    37,338.96x = 1,060,029,078.72
  5. Step 5: Solve for x
    x = 1,060,029,078.72/37,338.96
  6. Step 6: Final answer
    x = 28,389.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.