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Finding the Fourth Proportional to 47,124.56, 70,696.56 and 15,959

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Solution

The fourth proportional to 47,124.56, 70,696.56 and 15,959 is: 23,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124.56 : 70,696.56 = 15,959 : x
  2. Step 2: Convert to fraction form
    47,124.56/70,696.56 = 15,959/x
  3. Step 3: Cross multiply
    47,124.56x = 70,696.56 × 15,959
  4. Step 4: Simplify right side
    47,124.56x = 1,128,246,401.04
  5. Step 5: Solve for x
    x = 1,128,246,401.04/47,124.56
  6. Step 6: Final answer
    x = 23,941.79

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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.