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Finding the Fourth Proportional to 35,731.42, 53,605.23 and 12,358.06

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Solution

The fourth proportional to 35,731.42, 53,605.23 and 12,358.06 is: 18,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,731.42 : 53,605.23 = 12,358.06 : x
  2. Step 2: Convert to fraction form
    35,731.42/53,605.23 = 12,358.06/x
  3. Step 3: Cross multiply
    35,731.42x = 53,605.23 × 12,358.06
  4. Step 4: Simplify right side
    35,731.42x = 662,456,648.65
  5. Step 5: Solve for x
    x = 662,456,648.65/35,731.42
  6. Step 6: Final answer
    x = 18,539.89

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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.