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Finding the Fourth Proportional to 30,890.52, 46,339.02 and 10,114.02

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Solution

The fourth proportional to 30,890.52, 46,339.02 and 10,114.02 is: 15,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.52 : 46,339.02 = 10,114.02 : x
  2. Step 2: Convert to fraction form
    30,890.52/46,339.02 = 10,114.02/x
  3. Step 3: Cross multiply
    30,890.52x = 46,339.02 × 10,114.02
  4. Step 4: Simplify right side
    30,890.52x = 468,673,775.06
  5. Step 5: Solve for x
    x = 468,673,775.06/30,890.52
  6. Step 6: Final answer
    x = 15,172.09

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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.