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Finding the Fourth Proportional to 24,948.45, 37,420.16 and 7,429.41

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Solution

The fourth proportional to 24,948.45, 37,420.16 and 7,429.41 is: 11,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948.45 : 37,420.16 = 7,429.41 : x
  2. Step 2: Convert to fraction form
    24,948.45/37,420.16 = 7,429.41/x
  3. Step 3: Cross multiply
    24,948.45x = 37,420.16 × 7,429.41
  4. Step 4: Simplify right side
    24,948.45x = 278,009,673.76
  5. Step 5: Solve for x
    x = 278,009,673.76/24,948.45
  6. Step 6: Final answer
    x = 11,143.36

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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.