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Finding the Fourth Proportional to 116,594.71, 174,890.10 and 52,517.21

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Solution

The fourth proportional to 116,594.71, 174,890.10 and 52,517.21 is: 78,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,594.71 : 174,890.10 = 52,517.21 : x
  2. Step 2: Convert to fraction form
    116,594.71/174,890.10 = 52,517.21/x
  3. Step 3: Cross multiply
    116,594.71x = 174,890.10 × 52,517.21
  4. Step 4: Simplify right side
    116,594.71x = 9,184,740,108.62
  5. Step 5: Solve for x
    x = 9,184,740,108.62/116,594.71
  6. Step 6: Final answer
    x = 78,774.93

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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.