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Finding the Fourth Proportional to 37,493.50, 51,741.09 and 20,726.50

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Solution

The fourth proportional to 37,493.50, 51,741.09 and 20,726.50 is: 28,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,493.50 : 51,741.09 = 20,726.50 : x
  2. Step 2: Convert to fraction form
    37,493.50/51,741.09 = 20,726.50/x
  3. Step 3: Cross multiply
    37,493.50x = 51,741.09 × 20,726.50
  4. Step 4: Simplify right side
    37,493.50x = 1,072,411,701.89
  5. Step 5: Solve for x
    x = 1,072,411,701.89/37,493.50
  6. Step 6: Final answer
    x = 28,602.60

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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.