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Finding the Fourth Proportional to 76,684.89, 105,800.54 and 46,460.55

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Solution

The fourth proportional to 76,684.89, 105,800.54 and 46,460.55 is: 64,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.89 : 105,800.54 = 46,460.55 : x
  2. Step 2: Convert to fraction form
    76,684.89/105,800.54 = 46,460.55/x
  3. Step 3: Cross multiply
    76,684.89x = 105,800.54 × 46,460.55
  4. Step 4: Simplify right side
    76,684.89x = 4,915,551,046.39
  5. Step 5: Solve for x
    x = 4,915,551,046.39/76,684.89
  6. Step 6: Final answer
    x = 64,100.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.