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Finding the Fourth Proportional to 46,096.92, 69,159.06 and 14,931.48

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Solution

The fourth proportional to 46,096.92, 69,159.06 and 14,931.48 is: 22,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,096.92 : 69,159.06 = 14,931.48 : x
  2. Step 2: Convert to fraction form
    46,096.92/69,159.06 = 14,931.48/x
  3. Step 3: Cross multiply
    46,096.92x = 69,159.06 × 14,931.48
  4. Step 4: Simplify right side
    46,096.92x = 1,032,647,121.21
  5. Step 5: Solve for x
    x = 1,032,647,121.21/46,096.92
  6. Step 6: Final answer
    x = 22,401.65

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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.