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Finding the Fourth Proportional to 50,500.76, 75,762.08 and 19,336

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Solution

The fourth proportional to 50,500.76, 75,762.08 and 19,336 is: 29,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.76 : 75,762.08 = 19,336 : x
  2. Step 2: Convert to fraction form
    50,500.76/75,762.08 = 19,336/x
  3. Step 3: Cross multiply
    50,500.76x = 75,762.08 × 19,336
  4. Step 4: Simplify right side
    50,500.76x = 1,464,935,578.88
  5. Step 5: Solve for x
    x = 1,464,935,578.88/50,500.76
  6. Step 6: Final answer
    x = 29,008.19

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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.