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Finding the Fourth Proportional to 57,184.80, 78,914.07 and 31,343.10

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Solution

The fourth proportional to 57,184.80, 78,914.07 and 31,343.10 is: 43,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184.80 : 78,914.07 = 31,343.10 : x
  2. Step 2: Convert to fraction form
    57,184.80/78,914.07 = 31,343.10/x
  3. Step 3: Cross multiply
    57,184.80x = 78,914.07 × 31,343.10
  4. Step 4: Simplify right side
    57,184.80x = 2,473,411,587.42
  5. Step 5: Solve for x
    x = 2,473,411,587.42/57,184.80
  6. Step 6: Final answer
    x = 43,252.96

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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.