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Finding the Fourth Proportional to 76,605.76, 105,710.40 and 47,938.24

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Solution

The fourth proportional to 76,605.76, 105,710.40 and 47,938.24 is: 66,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,605.76 : 105,710.40 = 47,938.24 : x
  2. Step 2: Convert to fraction form
    76,605.76/105,710.40 = 47,938.24/x
  3. Step 3: Cross multiply
    76,605.76x = 105,710.40 × 47,938.24
  4. Step 4: Simplify right side
    76,605.76x = 5,067,570,525.70
  5. Step 5: Solve for x
    x = 5,067,570,525.70/76,605.76
  6. Step 6: Final answer
    x = 66,151.30

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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.