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Finding the Fourth Proportional to 35,344, 48,775.86 and 19,429.60

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Solution

The fourth proportional to 35,344, 48,775.86 and 19,429.60 is: 26,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344 : 48,775.86 = 19,429.60 : x
  2. Step 2: Convert to fraction form
    35,344/48,775.86 = 19,429.60/x
  3. Step 3: Cross multiply
    35,344x = 48,775.86 × 19,429.60
  4. Step 4: Simplify right side
    35,344x = 947,695,449.46
  5. Step 5: Solve for x
    x = 947,695,449.46/35,344
  6. Step 6: Final answer
    x = 26,813.47

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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.