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Finding the Fourth Proportional to 77,893.74, 116,851.83 and 24,567.60

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Solution

The fourth proportional to 77,893.74, 116,851.83 and 24,567.60 is: 36,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.74 : 116,851.83 = 24,567.60 : x
  2. Step 2: Convert to fraction form
    77,893.74/116,851.83 = 24,567.60/x
  3. Step 3: Cross multiply
    77,893.74x = 116,851.83 × 24,567.60
  4. Step 4: Simplify right side
    77,893.74x = 2,870,769,018.71
  5. Step 5: Solve for x
    x = 2,870,769,018.71/77,893.74
  6. Step 6: Final answer
    x = 36,854.94

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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.