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Finding the Fourth Proportional to 30,257.57, 45,386.34 and 9,197.78

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Solution

The fourth proportional to 30,257.57, 45,386.34 and 9,197.78 is: 13,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.57 : 45,386.34 = 9,197.78 : x
  2. Step 2: Convert to fraction form
    30,257.57/45,386.34 = 9,197.78/x
  3. Step 3: Cross multiply
    30,257.57x = 45,386.34 × 9,197.78
  4. Step 4: Simplify right side
    30,257.57x = 417,453,343.39
  5. Step 5: Solve for x
    x = 417,453,343.39/30,257.57
  6. Step 6: Final answer
    x = 13,796.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.