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Finding the Fourth Proportional to 76,212.36, 105,224.40 and 47,575.62

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Solution

The fourth proportional to 76,212.36, 105,224.40 and 47,575.62 is: 65,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212.36 : 105,224.40 = 47,575.62 : x
  2. Step 2: Convert to fraction form
    76,212.36/105,224.40 = 47,575.62/x
  3. Step 3: Cross multiply
    76,212.36x = 105,224.40 × 47,575.62
  4. Step 4: Simplify right side
    76,212.36x = 5,006,116,069.13
  5. Step 5: Solve for x
    x = 5,006,116,069.13/76,212.36
  6. Step 6: Final answer
    x = 65,686.41

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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.