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Finding the Fourth Proportional to 35,423.10, 53,149.02 and 13,242.84

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Solution

The fourth proportional to 35,423.10, 53,149.02 and 13,242.84 is: 19,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,423.10 : 53,149.02 = 13,242.84 : x
  2. Step 2: Convert to fraction form
    35,423.10/53,149.02 = 13,242.84/x
  3. Step 3: Cross multiply
    35,423.10x = 53,149.02 × 13,242.84
  4. Step 4: Simplify right side
    35,423.10x = 703,843,968.02
  5. Step 5: Solve for x
    x = 703,843,968.02/35,423.10
  6. Step 6: Final answer
    x = 19,869.63

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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.