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Finding the Fourth Proportional to 32,782.60, 49,156.62 and 14,293

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Solution

The fourth proportional to 32,782.60, 49,156.62 and 14,293 is: 21,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.60 : 49,156.62 = 14,293 : x
  2. Step 2: Convert to fraction form
    32,782.60/49,156.62 = 14,293/x
  3. Step 3: Cross multiply
    32,782.60x = 49,156.62 × 14,293
  4. Step 4: Simplify right side
    32,782.60x = 702,595,569.66
  5. Step 5: Solve for x
    x = 702,595,569.66/32,782.60
  6. Step 6: Final answer
    x = 21,431.97

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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.