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Finding the Fourth Proportional to 56,297.50, 77,692 and 33,942.94

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Solution

The fourth proportional to 56,297.50, 77,692 and 33,942.94 is: 46,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,297.50 : 77,692 = 33,942.94 : x
  2. Step 2: Convert to fraction form
    56,297.50/77,692 = 33,942.94/x
  3. Step 3: Cross multiply
    56,297.50x = 77,692 × 33,942.94
  4. Step 4: Simplify right side
    56,297.50x = 2,637,094,894.48
  5. Step 5: Solve for x
    x = 2,637,094,894.48/56,297.50
  6. Step 6: Final answer
    x = 46,842.13

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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.