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Finding the Fourth Proportional to 76,465.72, 114,698.58 and 44,923.96

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Solution

The fourth proportional to 76,465.72, 114,698.58 and 44,923.96 is: 67,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465.72 : 114,698.58 = 44,923.96 : x
  2. Step 2: Convert to fraction form
    76,465.72/114,698.58 = 44,923.96/x
  3. Step 3: Cross multiply
    76,465.72x = 114,698.58 × 44,923.96
  4. Step 4: Simplify right side
    76,465.72x = 5,152,714,419.98
  5. Step 5: Solve for x
    x = 5,152,714,419.98/76,465.72
  6. Step 6: Final answer
    x = 67,385.94

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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.