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Finding the Fourth Proportional to 72,823.49, 109,300.33 and 37,309

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Solution

The fourth proportional to 72,823.49, 109,300.33 and 37,309 is: 55,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,823.49 : 109,300.33 = 37,309 : x
  2. Step 2: Convert to fraction form
    72,823.49/109,300.33 = 37,309/x
  3. Step 3: Cross multiply
    72,823.49x = 109,300.33 × 37,309
  4. Step 4: Simplify right side
    72,823.49x = 4,077,886,011.97
  5. Step 5: Solve for x
    x = 4,077,886,011.97/72,823.49
  6. Step 6: Final answer
    x = 55,996.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.