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Finding the Fourth Proportional to 56,137.50, 77,469.89 and 30,987

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Solution

The fourth proportional to 56,137.50, 77,469.89 and 30,987 is: 42,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,137.50 : 77,469.89 = 30,987 : x
  2. Step 2: Convert to fraction form
    56,137.50/77,469.89 = 30,987/x
  3. Step 3: Cross multiply
    56,137.50x = 77,469.89 × 30,987
  4. Step 4: Simplify right side
    56,137.50x = 2,400,559,326.50
  5. Step 5: Solve for x
    x = 2,400,559,326.50/56,137.50
  6. Step 6: Final answer
    x = 42,762.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.