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Finding the Fourth Proportional to 32,374.36, 44,616 and 23,406.49

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Solution

The fourth proportional to 32,374.36, 44,616 and 23,406.49 is: 32,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.36 : 44,616 = 23,406.49 : x
  2. Step 2: Convert to fraction form
    32,374.36/44,616 = 23,406.49/x
  3. Step 3: Cross multiply
    32,374.36x = 44,616 × 23,406.49
  4. Step 4: Simplify right side
    32,374.36x = 1,044,303,957.84
  5. Step 5: Solve for x
    x = 1,044,303,957.84/32,374.36
  6. Step 6: Final answer
    x = 32,257.13

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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.