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Finding the Fourth Proportional to 38,762.76, 53,494.26 and 21,997.32

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Solution

The fourth proportional to 38,762.76, 53,494.26 and 21,997.32 is: 30,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,762.76 : 53,494.26 = 21,997.32 : x
  2. Step 2: Convert to fraction form
    38,762.76/53,494.26 = 21,997.32/x
  3. Step 3: Cross multiply
    38,762.76x = 53,494.26 × 21,997.32
  4. Step 4: Simplify right side
    38,762.76x = 1,176,730,355.38
  5. Step 5: Solve for x
    x = 1,176,730,355.38/38,762.76
  6. Step 6: Final answer
    x = 30,357.24

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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.