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Finding the Fourth Proportional to 76,902.54, 106,125.83 and 42,912.51

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Solution

The fourth proportional to 76,902.54, 106,125.83 and 42,912.51 is: 59,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902.54 : 106,125.83 = 42,912.51 : x
  2. Step 2: Convert to fraction form
    76,902.54/106,125.83 = 42,912.51/x
  3. Step 3: Cross multiply
    76,902.54x = 106,125.83 × 42,912.51
  4. Step 4: Simplify right side
    76,902.54x = 4,554,125,741.13
  5. Step 5: Solve for x
    x = 4,554,125,741.13/76,902.54
  6. Step 6: Final answer
    x = 59,219.45

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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.