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Finding the Fourth Proportional to 57,683, 79,602.54 and 31,187

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Solution

The fourth proportional to 57,683, 79,602.54 and 31,187 is: 43,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,683 : 79,602.54 = 31,187 : x
  2. Step 2: Convert to fraction form
    57,683/79,602.54 = 31,187/x
  3. Step 3: Cross multiply
    57,683x = 79,602.54 × 31,187
  4. Step 4: Simplify right side
    57,683x = 2,482,564,414.98
  5. Step 5: Solve for x
    x = 2,482,564,414.98/57,683
  6. Step 6: Final answer
    x = 43,038.06

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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.