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Finding the Fourth Proportional to 58,942.50, 81,340.65 and 32,446.50

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Solution

The fourth proportional to 58,942.50, 81,340.65 and 32,446.50 is: 44,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,942.50 : 81,340.65 = 32,446.50 : x
  2. Step 2: Convert to fraction form
    58,942.50/81,340.65 = 32,446.50/x
  3. Step 3: Cross multiply
    58,942.50x = 81,340.65 × 32,446.50
  4. Step 4: Simplify right side
    58,942.50x = 2,639,219,400.23
  5. Step 5: Solve for x
    x = 2,639,219,400.23/58,942.50
  6. Step 6: Final answer
    x = 44,776.17

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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.