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Finding the Fourth Proportional to 32,409.97, 48,610.86 and 12,702.37

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Solution

The fourth proportional to 32,409.97, 48,610.86 and 12,702.37 is: 19,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.97 : 48,610.86 = 12,702.37 : x
  2. Step 2: Convert to fraction form
    32,409.97/48,610.86 = 12,702.37/x
  3. Step 3: Cross multiply
    32,409.97x = 48,610.86 × 12,702.37
  4. Step 4: Simplify right side
    32,409.97x = 617,473,129.74
  5. Step 5: Solve for x
    x = 617,473,129.74/32,409.97
  6. Step 6: Final answer
    x = 19,051.95

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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.