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Finding the Fourth Proportional to 30,261.32, 45,393.42 and 9,485

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Solution

The fourth proportional to 30,261.32, 45,393.42 and 9,485 is: 14,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261.32 : 45,393.42 = 9,485 : x
  2. Step 2: Convert to fraction form
    30,261.32/45,393.42 = 9,485/x
  3. Step 3: Cross multiply
    30,261.32x = 45,393.42 × 9,485
  4. Step 4: Simplify right side
    30,261.32x = 430,556,588.70
  5. Step 5: Solve for x
    x = 430,556,588.70/30,261.32
  6. Step 6: Final answer
    x = 14,227.95

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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.