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Finding the Fourth Proportional to 76,411, 105,448.62 and 42,876.28

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Solution

The fourth proportional to 76,411, 105,448.62 and 42,876.28 is: 59,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411 : 105,448.62 = 42,876.28 : x
  2. Step 2: Convert to fraction form
    76,411/105,448.62 = 42,876.28/x
  3. Step 3: Cross multiply
    76,411x = 105,448.62 × 42,876.28
  4. Step 4: Simplify right side
    76,411x = 4,521,244,556.73
  5. Step 5: Solve for x
    x = 4,521,244,556.73/76,411
  6. Step 6: Final answer
    x = 59,170.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.