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Finding the Fourth Proportional to 59,914, 82,681.32 and 33,418

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Solution

The fourth proportional to 59,914, 82,681.32 and 33,418 is: 46,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,914 : 82,681.32 = 33,418 : x
  2. Step 2: Convert to fraction form
    59,914/82,681.32 = 33,418/x
  3. Step 3: Cross multiply
    59,914x = 82,681.32 × 33,418
  4. Step 4: Simplify right side
    59,914x = 2,763,044,351.76
  5. Step 5: Solve for x
    x = 2,763,044,351.76/59,914
  6. Step 6: Final answer
    x = 46,116.84

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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.