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Finding the Fourth Proportional to 76,438.40, 114,657.60 and 58,942.40

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Solution

The fourth proportional to 76,438.40, 114,657.60 and 58,942.40 is: 88,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.40 : 114,657.60 = 58,942.40 : x
  2. Step 2: Convert to fraction form
    76,438.40/114,657.60 = 58,942.40/x
  3. Step 3: Cross multiply
    76,438.40x = 114,657.60 × 58,942.40
  4. Step 4: Simplify right side
    76,438.40x = 6,758,194,122.24
  5. Step 5: Solve for x
    x = 6,758,194,122.24/76,438.40
  6. Step 6: Final answer
    x = 88,413.60

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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.