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Finding the Fourth Proportional to 56,297.19, 77,679.34 and 32,097.70

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Solution

The fourth proportional to 56,297.19, 77,679.34 and 32,097.70 is: 44,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,297.19 : 77,679.34 = 32,097.70 : x
  2. Step 2: Convert to fraction form
    56,297.19/77,679.34 = 32,097.70/x
  3. Step 3: Cross multiply
    56,297.19x = 77,679.34 × 32,097.70
  4. Step 4: Simplify right side
    56,297.19x = 2,493,328,168.37
  5. Step 5: Solve for x
    x = 2,493,328,168.37/56,297.19
  6. Step 6: Final answer
    x = 44,288.68

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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.