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Finding the Fourth Proportional to 38,405.76, 53,000.76 and 22,501.68

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Solution

The fourth proportional to 38,405.76, 53,000.76 and 22,501.68 is: 31,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.76 : 53,000.76 = 22,501.68 : x
  2. Step 2: Convert to fraction form
    38,405.76/53,000.76 = 22,501.68/x
  3. Step 3: Cross multiply
    38,405.76x = 53,000.76 × 22,501.68
  4. Step 4: Simplify right side
    38,405.76x = 1,192,606,141.28
  5. Step 5: Solve for x
    x = 1,192,606,141.28/38,405.76
  6. Step 6: Final answer
    x = 31,052.79

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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.