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Finding the Fourth Proportional to 51,535.53, 77,353.19 and 24,900.26

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Solution

The fourth proportional to 51,535.53, 77,353.19 and 24,900.26 is: 37,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,535.53 : 77,353.19 = 24,900.26 : x
  2. Step 2: Convert to fraction form
    51,535.53/77,353.19 = 24,900.26/x
  3. Step 3: Cross multiply
    51,535.53x = 77,353.19 × 24,900.26
  4. Step 4: Simplify right side
    51,535.53x = 1,926,114,777.61
  5. Step 5: Solve for x
    x = 1,926,114,777.61/51,535.53
  6. Step 6: Final answer
    x = 37,374.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.