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Finding the Fourth Proportional to 35,402.46, 53,056.40 and 13,193.46

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Solution

The fourth proportional to 35,402.46, 53,056.40 and 13,193.46 is: 19,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402.46 : 53,056.40 = 13,193.46 : x
  2. Step 2: Convert to fraction form
    35,402.46/53,056.40 = 13,193.46/x
  3. Step 3: Cross multiply
    35,402.46x = 53,056.40 × 13,193.46
  4. Step 4: Simplify right side
    35,402.46x = 699,997,491.14
  5. Step 5: Solve for x
    x = 699,997,491.14/35,402.46
  6. Step 6: Final answer
    x = 19,772.57

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Why These Related Problems?

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