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Finding the Fourth Proportional to 37,703.20, 52,024.63 and 21,784.57

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Solution

The fourth proportional to 37,703.20, 52,024.63 and 21,784.57 is: 30,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,703.20 : 52,024.63 = 21,784.57 : x
  2. Step 2: Convert to fraction form
    37,703.20/52,024.63 = 21,784.57/x
  3. Step 3: Cross multiply
    37,703.20x = 52,024.63 × 21,784.57
  4. Step 4: Simplify right side
    37,703.20x = 1,133,334,196.60
  5. Step 5: Solve for x
    x = 1,133,334,196.60/37,703.20
  6. Step 6: Final answer
    x = 30,059.37

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