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Finding the Fourth Proportional to 35,097.30, 52,675.65 and 14,052.15

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Solution

The fourth proportional to 35,097.30, 52,675.65 and 14,052.15 is: 21,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097.30 : 52,675.65 = 14,052.15 : x
  2. Step 2: Convert to fraction form
    35,097.30/52,675.65 = 14,052.15/x
  3. Step 3: Cross multiply
    35,097.30x = 52,675.65 × 14,052.15
  4. Step 4: Simplify right side
    35,097.30x = 740,206,135.15
  5. Step 5: Solve for x
    x = 740,206,135.15/35,097.30
  6. Step 6: Final answer
    x = 21,090.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.