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Finding the Fourth Proportional to 32,537.65, 44,903 and 21,214.46

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Solution

The fourth proportional to 32,537.65, 44,903 and 21,214.46 is: 29,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.65 : 44,903 = 21,214.46 : x
  2. Step 2: Convert to fraction form
    32,537.65/44,903 = 21,214.46/x
  3. Step 3: Cross multiply
    32,537.65x = 44,903 × 21,214.46
  4. Step 4: Simplify right side
    32,537.65x = 952,592,897.38
  5. Step 5: Solve for x
    x = 952,592,897.38/32,537.65
  6. Step 6: Final answer
    x = 29,276.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.