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Finding the Fourth Proportional to 38,678.78, 53,372.70 and 22,762.28

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Solution

The fourth proportional to 38,678.78, 53,372.70 and 22,762.28 is: 31,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678.78 : 53,372.70 = 22,762.28 : x
  2. Step 2: Convert to fraction form
    38,678.78/53,372.70 = 22,762.28/x
  3. Step 3: Cross multiply
    38,678.78x = 53,372.70 × 22,762.28
  4. Step 4: Simplify right side
    38,678.78x = 1,214,884,074.89
  5. Step 5: Solve for x
    x = 1,214,884,074.89/38,678.78
  6. Step 6: Final answer
    x = 31,409.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.