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Finding the Fourth Proportional to 32,471.56, 44,810.34 and 19,897

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Solution

The fourth proportional to 32,471.56, 44,810.34 and 19,897 is: 27,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.56 : 44,810.34 = 19,897 : x
  2. Step 2: Convert to fraction form
    32,471.56/44,810.34 = 19,897/x
  3. Step 3: Cross multiply
    32,471.56x = 44,810.34 × 19,897
  4. Step 4: Simplify right side
    32,471.56x = 891,591,334.98
  5. Step 5: Solve for x
    x = 891,591,334.98/32,471.56
  6. Step 6: Final answer
    x = 27,457.61

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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.