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Finding the Fourth Proportional to 54,810.76, 82,186.53 and 19,262.92

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Solution

The fourth proportional to 54,810.76, 82,186.53 and 19,262.92 is: 28,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,810.76 : 82,186.53 = 19,262.92 : x
  2. Step 2: Convert to fraction form
    54,810.76/82,186.53 = 19,262.92/x
  3. Step 3: Cross multiply
    54,810.76x = 82,186.53 × 19,262.92
  4. Step 4: Simplify right side
    54,810.76x = 1,583,152,552.47
  5. Step 5: Solve for x
    x = 1,583,152,552.47/54,810.76
  6. Step 6: Final answer
    x = 28,883.97

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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.