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Finding the Fourth Proportional to 76,804.50, 115,226.19 and 21,400.50

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Solution

The fourth proportional to 76,804.50, 115,226.19 and 21,400.50 is: 32,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804.50 : 115,226.19 = 21,400.50 : x
  2. Step 2: Convert to fraction form
    76,804.50/115,226.19 = 21,400.50/x
  3. Step 3: Cross multiply
    76,804.50x = 115,226.19 × 21,400.50
  4. Step 4: Simplify right side
    76,804.50x = 2,465,898,079.10
  5. Step 5: Solve for x
    x = 2,465,898,079.10/76,804.50
  6. Step 6: Final answer
    x = 32,106.17

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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.