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Finding the Fourth Proportional to 37,148.22, 51,265.54 and 21,017.98

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Solution

The fourth proportional to 37,148.22, 51,265.54 and 21,017.98 is: 29,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,148.22 : 51,265.54 = 21,017.98 : x
  2. Step 2: Convert to fraction form
    37,148.22/51,265.54 = 21,017.98/x
  3. Step 3: Cross multiply
    37,148.22x = 51,265.54 × 21,017.98
  4. Step 4: Simplify right side
    37,148.22x = 1,077,498,184.76
  5. Step 5: Solve for x
    x = 1,077,498,184.76/37,148.22
  6. Step 6: Final answer
    x = 29,005.38

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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.