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Finding the Fourth Proportional to 35,959.49, 53,931.94 and 9,664.46

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Solution

The fourth proportional to 35,959.49, 53,931.94 and 9,664.46 is: 14,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,959.49 : 53,931.94 = 9,664.46 : x
  2. Step 2: Convert to fraction form
    35,959.49/53,931.94 = 9,664.46/x
  3. Step 3: Cross multiply
    35,959.49x = 53,931.94 × 9,664.46
  4. Step 4: Simplify right side
    35,959.49x = 521,222,783.03
  5. Step 5: Solve for x
    x = 521,222,783.03/35,959.49
  6. Step 6: Final answer
    x = 14,494.72

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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.