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Finding the Fourth Proportional to 35,867.40, 53,762.70 and 16,142.60

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Solution

The fourth proportional to 35,867.40, 53,762.70 and 16,142.60 is: 24,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,867.40 : 53,762.70 = 16,142.60 : x
  2. Step 2: Convert to fraction form
    35,867.40/53,762.70 = 16,142.60/x
  3. Step 3: Cross multiply
    35,867.40x = 53,762.70 × 16,142.60
  4. Step 4: Simplify right side
    35,867.40x = 867,869,761.02
  5. Step 5: Solve for x
    x = 867,869,761.02/35,867.40
  6. Step 6: Final answer
    x = 24,196.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.