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Finding the Fourth Proportional to 54,897.93, 82,374.53 and 21,641.86

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Solution

The fourth proportional to 54,897.93, 82,374.53 and 21,641.86 is: 32,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897.93 : 82,374.53 = 21,641.86 : x
  2. Step 2: Convert to fraction form
    54,897.93/82,374.53 = 21,641.86/x
  3. Step 3: Cross multiply
    54,897.93x = 82,374.53 × 21,641.86
  4. Step 4: Simplify right side
    54,897.93x = 1,782,738,045.83
  5. Step 5: Solve for x
    x = 1,782,738,045.83/54,897.93
  6. Step 6: Final answer
    x = 32,473.68

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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.