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Finding the Fourth Proportional to 30,293.10, 45,437.49 and 9,522.54

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Solution

The fourth proportional to 30,293.10, 45,437.49 and 9,522.54 is: 14,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.10 : 45,437.49 = 9,522.54 : x
  2. Step 2: Convert to fraction form
    30,293.10/45,437.49 = 9,522.54/x
  3. Step 3: Cross multiply
    30,293.10x = 45,437.49 × 9,522.54
  4. Step 4: Simplify right side
    30,293.10x = 432,680,316.02
  5. Step 5: Solve for x
    x = 432,680,316.02/30,293.10
  6. Step 6: Final answer
    x = 14,283.13

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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.