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Finding the Fourth Proportional to 36,965.84, 55,698.16 and 30,536

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Solution

The fourth proportional to 36,965.84, 55,698.16 and 30,536 is: 46,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,965.84 : 55,698.16 = 30,536 : x
  2. Step 2: Convert to fraction form
    36,965.84/55,698.16 = 30,536/x
  3. Step 3: Cross multiply
    36,965.84x = 55,698.16 × 30,536
  4. Step 4: Simplify right side
    36,965.84x = 1,700,799,013.76
  5. Step 5: Solve for x
    x = 1,700,799,013.76/36,965.84
  6. Step 6: Final answer
    x = 46,010.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.