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Finding the Fourth Proportional to 35,495.31, 53,263.32 and 14,431.46

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Solution

The fourth proportional to 35,495.31, 53,263.32 and 14,431.46 is: 21,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,495.31 : 53,263.32 = 14,431.46 : x
  2. Step 2: Convert to fraction form
    35,495.31/53,263.32 = 14,431.46/x
  3. Step 3: Cross multiply
    35,495.31x = 53,263.32 × 14,431.46
  4. Step 4: Simplify right side
    35,495.31x = 768,667,399.89
  5. Step 5: Solve for x
    x = 768,667,399.89/35,495.31
  6. Step 6: Final answer
    x = 21,655.46

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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.