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Finding the Fourth Proportional to 35,414.06, 53,108.71 and 10,447.48

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Solution

The fourth proportional to 35,414.06, 53,108.71 and 10,447.48 is: 15,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.06 : 53,108.71 = 10,447.48 : x
  2. Step 2: Convert to fraction form
    35,414.06/53,108.71 = 10,447.48/x
  3. Step 3: Cross multiply
    35,414.06x = 53,108.71 × 10,447.48
  4. Step 4: Simplify right side
    35,414.06x = 554,852,159.43
  5. Step 5: Solve for x
    x = 554,852,159.43/35,414.06
  6. Step 6: Final answer
    x = 15,667.57

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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.