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Finding the Fourth Proportional to 76,141.89, 114,239.88 and 34,018.11

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Solution

The fourth proportional to 76,141.89, 114,239.88 and 34,018.11 is: 51,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.89 : 114,239.88 = 34,018.11 : x
  2. Step 2: Convert to fraction form
    76,141.89/114,239.88 = 34,018.11/x
  3. Step 3: Cross multiply
    76,141.89x = 114,239.88 × 34,018.11
  4. Step 4: Simplify right side
    76,141.89x = 3,886,224,804.23
  5. Step 5: Solve for x
    x = 3,886,224,804.23/76,141.89
  6. Step 6: Final answer
    x = 51,039.25

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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.