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Finding the Fourth Proportional to 59,823.48, 82,549.78 and 34,323

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Solution

The fourth proportional to 59,823.48, 82,549.78 and 34,323 is: 47,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,823.48 : 82,549.78 = 34,323 : x
  2. Step 2: Convert to fraction form
    59,823.48/82,549.78 = 34,323/x
  3. Step 3: Cross multiply
    59,823.48x = 82,549.78 × 34,323
  4. Step 4: Simplify right side
    59,823.48x = 2,833,356,098.94
  5. Step 5: Solve for x
    x = 2,833,356,098.94/59,823.48
  6. Step 6: Final answer
    x = 47,361.94

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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.