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Finding the Fourth Proportional to 52,751.44, 72,797 and 28,878.24

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Solution

The fourth proportional to 52,751.44, 72,797 and 28,878.24 is: 39,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,751.44 : 72,797 = 28,878.24 : x
  2. Step 2: Convert to fraction form
    52,751.44/72,797 = 28,878.24/x
  3. Step 3: Cross multiply
    52,751.44x = 72,797 × 28,878.24
  4. Step 4: Simplify right side
    52,751.44x = 2,102,249,237.28
  5. Step 5: Solve for x
    x = 2,102,249,237.28/52,751.44
  6. Step 6: Final answer
    x = 39,851.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.