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Finding the Fourth Proportional to 37,833, 56,744.42 and 15,643.32

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Solution

The fourth proportional to 37,833, 56,744.42 and 15,643.32 is: 23,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,833 : 56,744.42 = 15,643.32 : x
  2. Step 2: Convert to fraction form
    37,833/56,744.42 = 15,643.32/x
  3. Step 3: Cross multiply
    37,833x = 56,744.42 × 15,643.32
  4. Step 4: Simplify right side
    37,833x = 887,671,042.06
  5. Step 5: Solve for x
    x = 887,671,042.06/37,833
  6. Step 6: Final answer
    x = 23,462.88

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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.