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Finding the Fourth Proportional to 77,456.21, 116,160.02 and 24,854

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Solution

The fourth proportional to 77,456.21, 116,160.02 and 24,854 is: 37,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456.21 : 116,160.02 = 24,854 : x
  2. Step 2: Convert to fraction form
    77,456.21/116,160.02 = 24,854/x
  3. Step 3: Cross multiply
    77,456.21x = 116,160.02 × 24,854
  4. Step 4: Simplify right side
    77,456.21x = 2,887,041,012.81
  5. Step 5: Solve for x
    x = 2,887,041,012.81/77,456.21
  6. Step 6: Final answer
    x = 37,273.20

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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.