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Finding the Fourth Proportional to 38,645.56, 53,329.84 and 22,730.98

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Solution

The fourth proportional to 38,645.56, 53,329.84 and 22,730.98 is: 31,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,645.56 : 53,329.84 = 22,730.98 : x
  2. Step 2: Convert to fraction form
    38,645.56/53,329.84 = 22,730.98/x
  3. Step 3: Cross multiply
    38,645.56x = 53,329.84 × 22,730.98
  4. Step 4: Simplify right side
    38,645.56x = 1,212,239,526.44
  5. Step 5: Solve for x
    x = 1,212,239,526.44/38,645.56
  6. Step 6: Final answer
    x = 31,368.14

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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.