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Finding the Fourth Proportional to 51,458.68, 77,195.31 and 16,386.49

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Solution

The fourth proportional to 51,458.68, 77,195.31 and 16,386.49 is: 24,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458.68 : 77,195.31 = 16,386.49 : x
  2. Step 2: Convert to fraction form
    51,458.68/77,195.31 = 16,386.49/x
  3. Step 3: Cross multiply
    51,458.68x = 77,195.31 × 16,386.49
  4. Step 4: Simplify right side
    51,458.68x = 1,264,960,175.36
  5. Step 5: Solve for x
    x = 1,264,960,175.36/51,458.68
  6. Step 6: Final answer
    x = 24,582.06

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