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Finding the Fourth Proportional to 76,092.60, 114,077 and 31,752.38

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Solution

The fourth proportional to 76,092.60, 114,077 and 31,752.38 is: 47,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,092.60 : 114,077 = 31,752.38 : x
  2. Step 2: Convert to fraction form
    76,092.60/114,077 = 31,752.38/x
  3. Step 3: Cross multiply
    76,092.60x = 114,077 × 31,752.38
  4. Step 4: Simplify right side
    76,092.60x = 3,622,216,253.26
  5. Step 5: Solve for x
    x = 3,622,216,253.26/76,092.60
  6. Step 6: Final answer
    x = 47,602.74

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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.