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Finding the Fourth Proportional to 25,572, 38,358.48 and 7,104.48

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Solution

The fourth proportional to 25,572, 38,358.48 and 7,104.48 is: 10,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572 : 38,358.48 = 7,104.48 : x
  2. Step 2: Convert to fraction form
    25,572/38,358.48 = 7,104.48/x
  3. Step 3: Cross multiply
    25,572x = 38,358.48 × 7,104.48
  4. Step 4: Simplify right side
    25,572x = 272,517,053.99
  5. Step 5: Solve for x
    x = 272,517,053.99/25,572
  6. Step 6: Final answer
    x = 10,656.85

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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.