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Finding the Fourth Proportional to 50,531.61, 75,797.64 and 13,089.03

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Solution

The fourth proportional to 50,531.61, 75,797.64 and 13,089.03 is: 19,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,531.61 : 75,797.64 = 13,089.03 : x
  2. Step 2: Convert to fraction form
    50,531.61/75,797.64 = 13,089.03/x
  3. Step 3: Cross multiply
    50,531.61x = 75,797.64 × 13,089.03
  4. Step 4: Simplify right side
    50,531.61x = 992,117,583.89
  5. Step 5: Solve for x
    x = 992,117,583.89/50,531.61
  6. Step 6: Final answer
    x = 19,633.60

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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.