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Finding the Fourth Proportional to 33,420.64, 50,140.80 and 10,050.64

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Solution

The fourth proportional to 33,420.64, 50,140.80 and 10,050.64 is: 15,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420.64 : 50,140.80 = 10,050.64 : x
  2. Step 2: Convert to fraction form
    33,420.64/50,140.80 = 10,050.64/x
  3. Step 3: Cross multiply
    33,420.64x = 50,140.80 × 10,050.64
  4. Step 4: Simplify right side
    33,420.64x = 503,947,130.11
  5. Step 5: Solve for x
    x = 503,947,130.11/33,420.64
  6. Step 6: Final answer
    x = 15,078.92

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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.