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Finding the Fourth Proportional to 56,955.84, 78,598.74 and 31,463.96

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Solution

The fourth proportional to 56,955.84, 78,598.74 and 31,463.96 is: 43,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,955.84 : 78,598.74 = 31,463.96 : x
  2. Step 2: Convert to fraction form
    56,955.84/78,598.74 = 31,463.96/x
  3. Step 3: Cross multiply
    56,955.84x = 78,598.74 × 31,463.96
  4. Step 4: Simplify right side
    56,955.84x = 2,473,027,611.41
  5. Step 5: Solve for x
    x = 2,473,027,611.41/56,955.84
  6. Step 6: Final answer
    x = 43,420.09

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Why These Related Problems?

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