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Finding the Fourth Proportional to 30,880.16, 46,320.27 and 7,506.60

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Solution

The fourth proportional to 30,880.16, 46,320.27 and 7,506.60 is: 11,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.16 : 46,320.27 = 7,506.60 : x
  2. Step 2: Convert to fraction form
    30,880.16/46,320.27 = 7,506.60/x
  3. Step 3: Cross multiply
    30,880.16x = 46,320.27 × 7,506.60
  4. Step 4: Simplify right side
    30,880.16x = 347,707,738.78
  5. Step 5: Solve for x
    x = 347,707,738.78/30,880.16
  6. Step 6: Final answer
    x = 11,259.91

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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.