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Finding the Fourth Proportional to 35,807.67, 53,722.98 and 14,757.57

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Solution

The fourth proportional to 35,807.67, 53,722.98 and 14,757.57 is: 22,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.67 : 53,722.98 = 14,757.57 : x
  2. Step 2: Convert to fraction form
    35,807.67/53,722.98 = 14,757.57/x
  3. Step 3: Cross multiply
    35,807.67x = 53,722.98 × 14,757.57
  4. Step 4: Simplify right side
    35,807.67x = 792,820,637.96
  5. Step 5: Solve for x
    x = 792,820,637.96/35,807.67
  6. Step 6: Final answer
    x = 22,141.08

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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.