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Finding the Fourth Proportional to 35,478.28, 53,216.26 and 14,412.09

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Solution

The fourth proportional to 35,478.28, 53,216.26 and 14,412.09 is: 21,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.28 : 53,216.26 = 14,412.09 : x
  2. Step 2: Convert to fraction form
    35,478.28/53,216.26 = 14,412.09/x
  3. Step 3: Cross multiply
    35,478.28x = 53,216.26 × 14,412.09
  4. Step 4: Simplify right side
    35,478.28x = 766,957,392.77
  5. Step 5: Solve for x
    x = 766,957,392.77/35,478.28
  6. Step 6: Final answer
    x = 21,617.66

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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.