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Finding the Fourth Proportional to 76,059.19, 114,088.97 and 31,080.54

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Solution

The fourth proportional to 76,059.19, 114,088.97 and 31,080.54 is: 46,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,059.19 : 114,088.97 = 31,080.54 : x
  2. Step 2: Convert to fraction form
    76,059.19/114,088.97 = 31,080.54/x
  3. Step 3: Cross multiply
    76,059.19x = 114,088.97 × 31,080.54
  4. Step 4: Simplify right side
    76,059.19x = 3,545,946,795.64
  5. Step 5: Solve for x
    x = 3,545,946,795.64/76,059.19
  6. Step 6: Final answer
    x = 46,620.89

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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.