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Finding the Fourth Proportional to 30,557.94, 45,843.40 and 9,497.47

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Solution

The fourth proportional to 30,557.94, 45,843.40 and 9,497.47 is: 14,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.94 : 45,843.40 = 9,497.47 : x
  2. Step 2: Convert to fraction form
    30,557.94/45,843.40 = 9,497.47/x
  3. Step 3: Cross multiply
    30,557.94x = 45,843.40 × 9,497.47
  4. Step 4: Simplify right side
    30,557.94x = 435,396,299.42
  5. Step 5: Solve for x
    x = 435,396,299.42/30,557.94
  6. Step 6: Final answer
    x = 14,248.22

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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.