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Finding the Fourth Proportional to 52,743, 79,114.50 and 15,807

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Solution

The fourth proportional to 52,743, 79,114.50 and 15,807 is: 23,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743 : 79,114.50 = 15,807 : x
  2. Step 2: Convert to fraction form
    52,743/79,114.50 = 15,807/x
  3. Step 3: Cross multiply
    52,743x = 79,114.50 × 15,807
  4. Step 4: Simplify right side
    52,743x = 1,250,562,901.50
  5. Step 5: Solve for x
    x = 1,250,562,901.50/52,743
  6. Step 6: Final answer
    x = 23,710.50

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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.