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Finding the Fourth Proportional to 35,462.40, 53,190.60 and 10,838.40

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Solution

The fourth proportional to 35,462.40, 53,190.60 and 10,838.40 is: 16,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462.40 : 53,190.60 = 10,838.40 : x
  2. Step 2: Convert to fraction form
    35,462.40/53,190.60 = 10,838.40/x
  3. Step 3: Cross multiply
    35,462.40x = 53,190.60 × 10,838.40
  4. Step 4: Simplify right side
    35,462.40x = 576,500,999.04
  5. Step 5: Solve for x
    x = 576,500,999.04/35,462.40
  6. Step 6: Final answer
    x = 16,256.68

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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.