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Finding the Fourth Proportional to 77,818.52, 116,764.70 and 46,290.74

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Solution

The fourth proportional to 77,818.52, 116,764.70 and 46,290.74 is: 69,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,818.52 : 116,764.70 = 46,290.74 : x
  2. Step 2: Convert to fraction form
    77,818.52/116,764.70 = 46,290.74/x
  3. Step 3: Cross multiply
    77,818.52x = 116,764.70 × 46,290.74
  4. Step 4: Simplify right side
    77,818.52x = 5,405,123,553.60
  5. Step 5: Solve for x
    x = 5,405,123,553.60/77,818.52
  6. Step 6: Final answer
    x = 69,458.06

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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.