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Finding the Fourth Proportional to 46,643.60, 69,968.10 and 13,366.10

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Solution

The fourth proportional to 46,643.60, 69,968.10 and 13,366.10 is: 20,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.60 : 69,968.10 = 13,366.10 : x
  2. Step 2: Convert to fraction form
    46,643.60/69,968.10 = 13,366.10/x
  3. Step 3: Cross multiply
    46,643.60x = 69,968.10 × 13,366.10
  4. Step 4: Simplify right side
    46,643.60x = 935,200,621.41
  5. Step 5: Solve for x
    x = 935,200,621.41/46,643.60
  6. Step 6: Final answer
    x = 20,049.92

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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.