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Finding the Fourth Proportional to 37,652.94, 51,955.28 and 21,734.32

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Solution

The fourth proportional to 37,652.94, 51,955.28 and 21,734.32 is: 29,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,652.94 : 51,955.28 = 21,734.32 : x
  2. Step 2: Convert to fraction form
    37,652.94/51,955.28 = 21,734.32/x
  3. Step 3: Cross multiply
    37,652.94x = 51,955.28 × 21,734.32
  4. Step 4: Simplify right side
    37,652.94x = 1,129,212,312.76
  5. Step 5: Solve for x
    x = 1,129,212,312.76/37,652.94
  6. Step 6: Final answer
    x = 29,990.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.