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Finding the Fourth Proportional to 30,283.86, 45,432.97 and 9,507.36

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Solution

The fourth proportional to 30,283.86, 45,432.97 and 9,507.36 is: 14,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.86 : 45,432.97 = 9,507.36 : x
  2. Step 2: Convert to fraction form
    30,283.86/45,432.97 = 9,507.36/x
  3. Step 3: Cross multiply
    30,283.86x = 45,432.97 × 9,507.36
  4. Step 4: Simplify right side
    30,283.86x = 431,947,546.18
  5. Step 5: Solve for x
    x = 431,947,546.18/30,283.86
  6. Step 6: Final answer
    x = 14,263.29

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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.