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Finding the Fourth Proportional to 46,483.61, 69,724.80 and 11,423.57

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Solution

The fourth proportional to 46,483.61, 69,724.80 and 11,423.57 is: 17,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,483.61 : 69,724.80 = 11,423.57 : x
  2. Step 2: Convert to fraction form
    46,483.61/69,724.80 = 11,423.57/x
  3. Step 3: Cross multiply
    46,483.61x = 69,724.80 × 11,423.57
  4. Step 4: Simplify right side
    46,483.61x = 796,505,784.91
  5. Step 5: Solve for x
    x = 796,505,784.91/46,483.61
  6. Step 6: Final answer
    x = 17,135.20

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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.