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Finding the Fourth Proportional to 76,204.86, 105,164.20 and 45,609.46

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Solution

The fourth proportional to 76,204.86, 105,164.20 and 45,609.46 is: 62,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,204.86 : 105,164.20 = 45,609.46 : x
  2. Step 2: Convert to fraction form
    76,204.86/105,164.20 = 45,609.46/x
  3. Step 3: Cross multiply
    76,204.86x = 105,164.20 × 45,609.46
  4. Step 4: Simplify right side
    76,204.86x = 4,796,482,373.33
  5. Step 5: Solve for x
    x = 4,796,482,373.33/76,204.86
  6. Step 6: Final answer
    x = 62,941.95

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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.