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Finding the Fourth Proportional to 56,647.36, 84,962.40 and 31,672

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Solution

The fourth proportional to 56,647.36, 84,962.40 and 31,672 is: 47,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,647.36 : 84,962.40 = 31,672 : x
  2. Step 2: Convert to fraction form
    56,647.36/84,962.40 = 31,672/x
  3. Step 3: Cross multiply
    56,647.36x = 84,962.40 × 31,672
  4. Step 4: Simplify right side
    56,647.36x = 2,690,929,132.80
  5. Step 5: Solve for x
    x = 2,690,929,132.80/56,647.36
  6. Step 6: Final answer
    x = 47,503.17

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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.