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Finding the Fourth Proportional to 50,804.42, 76,217.22 and 15,264.32

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Solution

The fourth proportional to 50,804.42, 76,217.22 and 15,264.32 is: 22,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,804.42 : 76,217.22 = 15,264.32 : x
  2. Step 2: Convert to fraction form
    50,804.42/76,217.22 = 15,264.32/x
  3. Step 3: Cross multiply
    50,804.42x = 76,217.22 × 15,264.32
  4. Step 4: Simplify right side
    50,804.42x = 1,163,403,654.50
  5. Step 5: Solve for x
    x = 1,163,403,654.50/50,804.42
  6. Step 6: Final answer
    x = 22,899.66

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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.