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Finding the Fourth Proportional to 30,880.12, 46,326.66 and 10,102

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Solution

The fourth proportional to 30,880.12, 46,326.66 and 10,102 is: 15,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.12 : 46,326.66 = 10,102 : x
  2. Step 2: Convert to fraction form
    30,880.12/46,326.66 = 10,102/x
  3. Step 3: Cross multiply
    30,880.12x = 46,326.66 × 10,102
  4. Step 4: Simplify right side
    30,880.12x = 467,991,919.32
  5. Step 5: Solve for x
    x = 467,991,919.32/30,880.12
  6. Step 6: Final answer
    x = 15,155.12

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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.