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Finding the Fourth Proportional to 35,689.07, 53,512.86 and 13,504.16

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Solution

The fourth proportional to 35,689.07, 53,512.86 and 13,504.16 is: 20,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.07 : 53,512.86 = 13,504.16 : x
  2. Step 2: Convert to fraction form
    35,689.07/53,512.86 = 13,504.16/x
  3. Step 3: Cross multiply
    35,689.07x = 53,512.86 × 13,504.16
  4. Step 4: Simplify right side
    35,689.07x = 722,646,331.96
  5. Step 5: Solve for x
    x = 722,646,331.96/35,689.07
  6. Step 6: Final answer
    x = 20,248.39

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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.