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Finding the Fourth Proportional to 35,602.27, 53,407.05 and 13,434.29

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Solution

The fourth proportional to 35,602.27, 53,407.05 and 13,434.29 is: 20,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602.27 : 53,407.05 = 13,434.29 : x
  2. Step 2: Convert to fraction form
    35,602.27/53,407.05 = 13,434.29/x
  3. Step 3: Cross multiply
    35,602.27x = 53,407.05 × 13,434.29
  4. Step 4: Simplify right side
    35,602.27x = 717,485,797.74
  5. Step 5: Solve for x
    x = 717,485,797.74/35,602.27
  6. Step 6: Final answer
    x = 20,152.81

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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.