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Finding the Fourth Proportional to 50,549.76, 75,829.50 and 15,483.24

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Solution

The fourth proportional to 50,549.76, 75,829.50 and 15,483.24 is: 23,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.76 : 75,829.50 = 15,483.24 : x
  2. Step 2: Convert to fraction form
    50,549.76/75,829.50 = 15,483.24/x
  3. Step 3: Cross multiply
    50,549.76x = 75,829.50 × 15,483.24
  4. Step 4: Simplify right side
    50,549.76x = 1,174,086,347.58
  5. Step 5: Solve for x
    x = 1,174,086,347.58/50,549.76
  6. Step 6: Final answer
    x = 23,226.35

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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.