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Finding the Fourth Proportional to 76,580.72, 105,665.88 and 44,743.46

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Solution

The fourth proportional to 76,580.72, 105,665.88 and 44,743.46 is: 61,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.72 : 105,665.88 = 44,743.46 : x
  2. Step 2: Convert to fraction form
    76,580.72/105,665.88 = 44,743.46/x
  3. Step 3: Cross multiply
    76,580.72x = 105,665.88 × 44,743.46
  4. Step 4: Simplify right side
    76,580.72x = 4,727,857,075.14
  5. Step 5: Solve for x
    x = 4,727,857,075.14/76,580.72
  6. Step 6: Final answer
    x = 61,736.91

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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.