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Finding the Fourth Proportional to 50,330.88, 75,417.60 and 31,824

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Solution

The fourth proportional to 50,330.88, 75,417.60 and 31,824 is: 47,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,330.88 : 75,417.60 = 31,824 : x
  2. Step 2: Convert to fraction form
    50,330.88/75,417.60 = 31,824/x
  3. Step 3: Cross multiply
    50,330.88x = 75,417.60 × 31,824
  4. Step 4: Simplify right side
    50,330.88x = 2,400,089,702.40
  5. Step 5: Solve for x
    x = 2,400,089,702.40/50,330.88
  6. Step 6: Final answer
    x = 47,686.23

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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.