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Finding the Fourth Proportional to 50,509.84, 75,748.34 and 23,851.70

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Solution

The fourth proportional to 50,509.84, 75,748.34 and 23,851.70 is: 35,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.84 : 75,748.34 = 23,851.70 : x
  2. Step 2: Convert to fraction form
    50,509.84/75,748.34 = 23,851.70/x
  3. Step 3: Cross multiply
    50,509.84x = 75,748.34 × 23,851.70
  4. Step 4: Simplify right side
    50,509.84x = 1,806,726,681.18
  5. Step 5: Solve for x
    x = 1,806,726,681.18/50,509.84
  6. Step 6: Final answer
    x = 35,769.80

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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.