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Finding the Fourth Proportional to 35,740.84, 53,637.18 and 20,188.84

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Solution

The fourth proportional to 35,740.84, 53,637.18 and 20,188.84 is: 30,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.84 : 53,637.18 = 20,188.84 : x
  2. Step 2: Convert to fraction form
    35,740.84/53,637.18 = 20,188.84/x
  3. Step 3: Cross multiply
    35,740.84x = 53,637.18 × 20,188.84
  4. Step 4: Simplify right side
    35,740.84x = 1,082,872,445.07
  5. Step 5: Solve for x
    x = 1,082,872,445.07/35,740.84
  6. Step 6: Final answer
    x = 30,297.90

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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.