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Finding the Fourth Proportional to 85,596.84, 118,123.56 and 47,871

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Solution

The fourth proportional to 85,596.84, 118,123.56 and 47,871 is: 66,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,596.84 : 118,123.56 = 47,871 : x
  2. Step 2: Convert to fraction form
    85,596.84/118,123.56 = 47,871/x
  3. Step 3: Cross multiply
    85,596.84x = 118,123.56 × 47,871
  4. Step 4: Simplify right side
    85,596.84x = 5,654,692,940.76
  5. Step 5: Solve for x
    x = 5,654,692,940.76/85,596.84
  6. Step 6: Final answer
    x = 66,061.94

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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.