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Finding the Fourth Proportional to 37,453.98, 51,686.76 and 20,686.98

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Solution

The fourth proportional to 37,453.98, 51,686.76 and 20,686.98 is: 28,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,453.98 : 51,686.76 = 20,686.98 : x
  2. Step 2: Convert to fraction form
    37,453.98/51,686.76 = 20,686.98/x
  3. Step 3: Cross multiply
    37,453.98x = 51,686.76 × 20,686.98
  4. Step 4: Simplify right side
    37,453.98x = 1,069,242,970.38
  5. Step 5: Solve for x
    x = 1,069,242,970.38/37,453.98
  6. Step 6: Final answer
    x = 28,548.18

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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.