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Finding the Fourth Proportional to 53,817.60, 80,774.40 and 31,603.20

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Solution

The fourth proportional to 53,817.60, 80,774.40 and 31,603.20 is: 47,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,817.60 : 80,774.40 = 31,603.20 : x
  2. Step 2: Convert to fraction form
    53,817.60/80,774.40 = 31,603.20/x
  3. Step 3: Cross multiply
    53,817.60x = 80,774.40 × 31,603.20
  4. Step 4: Simplify right side
    53,817.60x = 2,552,729,518.08
  5. Step 5: Solve for x
    x = 2,552,729,518.08/53,817.60
  6. Step 6: Final answer
    x = 47,432.99

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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.