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Finding the Fourth Proportional to 46,182.50, 69,285.27 and 13,350.50

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Solution

The fourth proportional to 46,182.50, 69,285.27 and 13,350.50 is: 20,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182.50 : 69,285.27 = 13,350.50 : x
  2. Step 2: Convert to fraction form
    46,182.50/69,285.27 = 13,350.50/x
  3. Step 3: Cross multiply
    46,182.50x = 69,285.27 × 13,350.50
  4. Step 4: Simplify right side
    46,182.50x = 924,992,997.14
  5. Step 5: Solve for x
    x = 924,992,997.14/46,182.50
  6. Step 6: Final answer
    x = 20,029.08

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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.