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Finding the Fourth Proportional to 76,156.41, 114,246.92 and 23,565.90

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Solution

The fourth proportional to 76,156.41, 114,246.92 and 23,565.90 is: 35,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,156.41 : 114,246.92 = 23,565.90 : x
  2. Step 2: Convert to fraction form
    76,156.41/114,246.92 = 23,565.90/x
  3. Step 3: Cross multiply
    76,156.41x = 114,246.92 × 23,565.90
  4. Step 4: Simplify right side
    76,156.41x = 2,692,331,492.03
  5. Step 5: Solve for x
    x = 2,692,331,492.03/76,156.41
  6. Step 6: Final answer
    x = 35,352.66

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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.