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Finding the Fourth Proportional to 35,981.84, 53,991.12 and 24,270.50

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Solution

The fourth proportional to 35,981.84, 53,991.12 and 24,270.50 is: 36,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981.84 : 53,991.12 = 24,270.50 : x
  2. Step 2: Convert to fraction form
    35,981.84/53,991.12 = 24,270.50/x
  3. Step 3: Cross multiply
    35,981.84x = 53,991.12 × 24,270.50
  4. Step 4: Simplify right side
    35,981.84x = 1,310,391,477.96
  5. Step 5: Solve for x
    x = 1,310,391,477.96/35,981.84
  6. Step 6: Final answer
    x = 36,418.13

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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.