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Finding the Fourth Proportional to 76,084.86, 114,133.86 and 19,924.74

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Solution

The fourth proportional to 76,084.86, 114,133.86 and 19,924.74 is: 29,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,084.86 : 114,133.86 = 19,924.74 : x
  2. Step 2: Convert to fraction form
    76,084.86/114,133.86 = 19,924.74/x
  3. Step 3: Cross multiply
    76,084.86x = 114,133.86 × 19,924.74
  4. Step 4: Simplify right side
    76,084.86x = 2,274,087,485.70
  5. Step 5: Solve for x
    x = 2,274,087,485.70/76,084.86
  6. Step 6: Final answer
    x = 29,888.83

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1.5x scale

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.