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Finding the Fourth Proportional to 35,714.58, 53,579.36 and 13,527.46

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Solution

The fourth proportional to 35,714.58, 53,579.36 and 13,527.46 is: 20,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.58 : 53,579.36 = 13,527.46 : x
  2. Step 2: Convert to fraction form
    35,714.58/53,579.36 = 13,527.46/x
  3. Step 3: Cross multiply
    35,714.58x = 53,579.36 × 13,527.46
  4. Step 4: Simplify right side
    35,714.58x = 724,792,649.23
  5. Step 5: Solve for x
    x = 724,792,649.23/35,714.58
  6. Step 6: Final answer
    x = 20,294.03

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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.