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Finding the Fourth Proportional to 30,813.16, 46,219.76 and 7,439.60

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Solution

The fourth proportional to 30,813.16, 46,219.76 and 7,439.60 is: 11,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.16 : 46,219.76 = 7,439.60 : x
  2. Step 2: Convert to fraction form
    30,813.16/46,219.76 = 7,439.60/x
  3. Step 3: Cross multiply
    30,813.16x = 46,219.76 × 7,439.60
  4. Step 4: Simplify right side
    30,813.16x = 343,856,526.50
  5. Step 5: Solve for x
    x = 343,856,526.50/30,813.16
  6. Step 6: Final answer
    x = 11,159.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.