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Finding the Fourth Proportional to 34,478.24, 47,582 and 25,965.35

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Solution

The fourth proportional to 34,478.24, 47,582 and 25,965.35 is: 35,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478.24 : 47,582 = 25,965.35 : x
  2. Step 2: Convert to fraction form
    34,478.24/47,582 = 25,965.35/x
  3. Step 3: Cross multiply
    34,478.24x = 47,582 × 25,965.35
  4. Step 4: Simplify right side
    34,478.24x = 1,235,483,283.70
  5. Step 5: Solve for x
    x = 1,235,483,283.70/34,478.24
  6. Step 6: Final answer
    x = 35,833.71

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1.5x scale

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.