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Finding the Fourth Proportional to 32,487.71, 48,702.40 and 11,696.63

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Solution

The fourth proportional to 32,487.71, 48,702.40 and 11,696.63 is: 17,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,487.71 : 48,702.40 = 11,696.63 : x
  2. Step 2: Convert to fraction form
    32,487.71/48,702.40 = 11,696.63/x
  3. Step 3: Cross multiply
    32,487.71x = 48,702.40 × 11,696.63
  4. Step 4: Simplify right side
    32,487.71x = 569,653,680.16
  5. Step 5: Solve for x
    x = 569,653,680.16/32,487.71
  6. Step 6: Final answer
    x = 17,534.44

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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.