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Finding the Fourth Proportional to 75,504.40, 113,272.50 and 31,130.80

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Solution

The fourth proportional to 75,504.40, 113,272.50 and 31,130.80 is: 46,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,504.40 : 113,272.50 = 31,130.80 : x
  2. Step 2: Convert to fraction form
    75,504.40/113,272.50 = 31,130.80/x
  3. Step 3: Cross multiply
    75,504.40x = 113,272.50 × 31,130.80
  4. Step 4: Simplify right side
    75,504.40x = 3,526,263,543
  5. Step 5: Solve for x
    x = 3,526,263,543/75,504.40
  6. Step 6: Final answer
    x = 46,702.76

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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.