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Finding the Fourth Proportional to 30,296.76, 45,439.38 and 10,307.16

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Solution

The fourth proportional to 30,296.76, 45,439.38 and 10,307.16 is: 15,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.76 : 45,439.38 = 10,307.16 : x
  2. Step 2: Convert to fraction form
    30,296.76/45,439.38 = 10,307.16/x
  3. Step 3: Cross multiply
    30,296.76x = 45,439.38 × 10,307.16
  4. Step 4: Simplify right side
    30,296.76x = 468,350,959.96
  5. Step 5: Solve for x
    x = 468,350,959.96/30,296.76
  6. Step 6: Final answer
    x = 15,458.78

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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.