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Finding the Fourth Proportional to 35,398.80, 53,083.08 and 12,014.64

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Solution

The fourth proportional to 35,398.80, 53,083.08 and 12,014.64 is: 18,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,398.80 : 53,083.08 = 12,014.64 : x
  2. Step 2: Convert to fraction form
    35,398.80/53,083.08 = 12,014.64/x
  3. Step 3: Cross multiply
    35,398.80x = 53,083.08 × 12,014.64
  4. Step 4: Simplify right side
    35,398.80x = 637,774,096.29
  5. Step 5: Solve for x
    x = 637,774,096.29/35,398.80
  6. Step 6: Final answer
    x = 18,016.83

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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.