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Finding the Fourth Proportional to 30,283.47, 45,427.52 and 9,225.30

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Solution

The fourth proportional to 30,283.47, 45,427.52 and 9,225.30 is: 13,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.47 : 45,427.52 = 9,225.30 : x
  2. Step 2: Convert to fraction form
    30,283.47/45,427.52 = 9,225.30/x
  3. Step 3: Cross multiply
    30,283.47x = 45,427.52 × 9,225.30
  4. Step 4: Simplify right side
    30,283.47x = 419,082,454.13
  5. Step 5: Solve for x
    x = 419,082,454.13/30,283.47
  6. Step 6: Final answer
    x = 13,838.65

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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.