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Finding the Fourth Proportional to 56,311.68, 77,697.02 and 33,658

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Solution

The fourth proportional to 56,311.68, 77,697.02 and 33,658 is: 46,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,311.68 : 77,697.02 = 33,658 : x
  2. Step 2: Convert to fraction form
    56,311.68/77,697.02 = 33,658/x
  3. Step 3: Cross multiply
    56,311.68x = 77,697.02 × 33,658
  4. Step 4: Simplify right side
    56,311.68x = 2,615,126,299.16
  5. Step 5: Solve for x
    x = 2,615,126,299.16/56,311.68
  6. Step 6: Final answer
    x = 46,440.21

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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.