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Finding the Fourth Proportional to 32,595.10, 44,973.70 and 21,820.48

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Solution

The fourth proportional to 32,595.10, 44,973.70 and 21,820.48 is: 30,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595.10 : 44,973.70 = 21,820.48 : x
  2. Step 2: Convert to fraction form
    32,595.10/44,973.70 = 21,820.48/x
  3. Step 3: Cross multiply
    32,595.10x = 44,973.70 × 21,820.48
  4. Step 4: Simplify right side
    32,595.10x = 981,347,721.38
  5. Step 5: Solve for x
    x = 981,347,721.38/32,595.10
  6. Step 6: Final answer
    x = 30,107.22

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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.