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Finding the Fourth Proportional to 37,061.76, 51,149.52 and 21,148.50

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Solution

The fourth proportional to 37,061.76, 51,149.52 and 21,148.50 is: 29,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,061.76 : 51,149.52 = 21,148.50 : x
  2. Step 2: Convert to fraction form
    37,061.76/51,149.52 = 21,148.50/x
  3. Step 3: Cross multiply
    37,061.76x = 51,149.52 × 21,148.50
  4. Step 4: Simplify right side
    37,061.76x = 1,081,735,623.72
  5. Step 5: Solve for x
    x = 1,081,735,623.72/37,061.76
  6. Step 6: Final answer
    x = 29,187.38

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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.