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Finding the Fourth Proportional to 32,687, 49,030.62 and 8,063

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Solution

The fourth proportional to 32,687, 49,030.62 and 8,063 is: 12,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687 : 49,030.62 = 8,063 : x
  2. Step 2: Convert to fraction form
    32,687/49,030.62 = 8,063/x
  3. Step 3: Cross multiply
    32,687x = 49,030.62 × 8,063
  4. Step 4: Simplify right side
    32,687x = 395,333,889.06
  5. Step 5: Solve for x
    x = 395,333,889.06/32,687
  6. Step 6: Final answer
    x = 12,094.53

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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.