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Finding the Fourth Proportional to 30,298.89, 45,447.86 and 9,522.39

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Solution

The fourth proportional to 30,298.89, 45,447.86 and 9,522.39 is: 14,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.89 : 45,447.86 = 9,522.39 : x
  2. Step 2: Convert to fraction form
    30,298.89/45,447.86 = 9,522.39/x
  3. Step 3: Cross multiply
    30,298.89x = 45,447.86 × 9,522.39
  4. Step 4: Simplify right side
    30,298.89x = 432,772,199.97
  5. Step 5: Solve for x
    x = 432,772,199.97/30,298.89
  6. Step 6: Final answer
    x = 14,283.43

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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.