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Finding the Fourth Proportional to 40,907, 56,466.24 and 24,140

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Solution

The fourth proportional to 40,907, 56,466.24 and 24,140 is: 33,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 56,466.24 = 24,140 : x
  2. Step 2: Convert to fraction form
    40,907/56,466.24 = 24,140/x
  3. Step 3: Cross multiply
    40,907x = 56,466.24 × 24,140
  4. Step 4: Simplify right side
    40,907x = 1,363,095,033.60
  5. Step 5: Solve for x
    x = 1,363,095,033.60/40,907
  6. Step 6: Final answer
    x = 33,321.80

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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.