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Finding the Fourth Proportional to 116,594.60, 174,978.30 and 46,524.20

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Solution

The fourth proportional to 116,594.60, 174,978.30 and 46,524.20 is: 69,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,594.60 : 174,978.30 = 46,524.20 : x
  2. Step 2: Convert to fraction form
    116,594.60/174,978.30 = 46,524.20/x
  3. Step 3: Cross multiply
    116,594.60x = 174,978.30 × 46,524.20
  4. Step 4: Simplify right side
    116,594.60x = 8,140,725,424.86
  5. Step 5: Solve for x
    x = 8,140,725,424.86/116,594.60
  6. Step 6: Final answer
    x = 69,820.78

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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.