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Finding the Fourth Proportional to 46,506.92, 69,762.80 and 15,344.60

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Solution

The fourth proportional to 46,506.92, 69,762.80 and 15,344.60 is: 23,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.92 : 69,762.80 = 15,344.60 : x
  2. Step 2: Convert to fraction form
    46,506.92/69,762.80 = 15,344.60/x
  3. Step 3: Cross multiply
    46,506.92x = 69,762.80 × 15,344.60
  4. Step 4: Simplify right side
    46,506.92x = 1,070,482,260.88
  5. Step 5: Solve for x
    x = 1,070,482,260.88/46,506.92
  6. Step 6: Final answer
    x = 23,017.70

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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.