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Finding the Fourth Proportional to 78,420.95, 117,565.29 and 34,014.25

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Solution

The fourth proportional to 78,420.95, 117,565.29 and 34,014.25 is: 50,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.95 : 117,565.29 = 34,014.25 : x
  2. Step 2: Convert to fraction form
    78,420.95/117,565.29 = 34,014.25/x
  3. Step 3: Cross multiply
    78,420.95x = 117,565.29 × 34,014.25
  4. Step 4: Simplify right side
    78,420.95x = 3,998,895,165.38
  5. Step 5: Solve for x
    x = 3,998,895,165.38/78,420.95
  6. Step 6: Final answer
    x = 50,992.69

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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.