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Finding the Fourth Proportional to 54,897.68, 82,346.52 and 15,458.96

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Solution

The fourth proportional to 54,897.68, 82,346.52 and 15,458.96 is: 23,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897.68 : 82,346.52 = 15,458.96 : x
  2. Step 2: Convert to fraction form
    54,897.68/82,346.52 = 15,458.96/x
  3. Step 3: Cross multiply
    54,897.68x = 82,346.52 × 15,458.96
  4. Step 4: Simplify right side
    54,897.68x = 1,272,991,558.82
  5. Step 5: Solve for x
    x = 1,272,991,558.82/54,897.68
  6. Step 6: Final answer
    x = 23,188.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.