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Finding the Fourth Proportional to 32,409.78, 48,610.17 and 12,702.06

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Solution

The fourth proportional to 32,409.78, 48,610.17 and 12,702.06 is: 19,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.78 : 48,610.17 = 12,702.06 : x
  2. Step 2: Convert to fraction form
    32,409.78/48,610.17 = 12,702.06/x
  3. Step 3: Cross multiply
    32,409.78x = 48,610.17 × 12,702.06
  4. Step 4: Simplify right side
    32,409.78x = 617,449,295.95
  5. Step 5: Solve for x
    x = 617,449,295.95/32,409.78
  6. Step 6: Final answer
    x = 19,051.33

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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.