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Finding the Fourth Proportional to 32,470.56, 44,808.96 and 19,896

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Solution

The fourth proportional to 32,470.56, 44,808.96 and 19,896 is: 27,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.56 : 44,808.96 = 19,896 : x
  2. Step 2: Convert to fraction form
    32,470.56/44,808.96 = 19,896/x
  3. Step 3: Cross multiply
    32,470.56x = 44,808.96 × 19,896
  4. Step 4: Simplify right side
    32,470.56x = 891,519,068.16
  5. Step 5: Solve for x
    x = 891,519,068.16/32,470.56
  6. Step 6: Final answer
    x = 27,456.23

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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.