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Finding the Fourth Proportional to 76,825.76, 115,237.49 and 46,848.80

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Solution

The fourth proportional to 76,825.76, 115,237.49 and 46,848.80 is: 70,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,825.76 : 115,237.49 = 46,848.80 : x
  2. Step 2: Convert to fraction form
    76,825.76/115,237.49 = 46,848.80/x
  3. Step 3: Cross multiply
    76,825.76x = 115,237.49 × 46,848.80
  4. Step 4: Simplify right side
    76,825.76x = 5,398,738,175.36
  5. Step 5: Solve for x
    x = 5,398,738,175.36/76,825.76
  6. Step 6: Final answer
    x = 70,272.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.