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Finding the Fourth Proportional to 51,257, 76,929.24 and 20,114.12

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Solution

The fourth proportional to 51,257, 76,929.24 and 20,114.12 is: 30,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257 : 76,929.24 = 20,114.12 : x
  2. Step 2: Convert to fraction form
    51,257/76,929.24 = 20,114.12/x
  3. Step 3: Cross multiply
    51,257x = 76,929.24 × 20,114.12
  4. Step 4: Simplify right side
    51,257x = 1,547,363,964.87
  5. Step 5: Solve for x
    x = 1,547,363,964.87/51,257
  6. Step 6: Final answer
    x = 30,188.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.