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Finding the Fourth Proportional to 35,678.03, 53,527.84 and 13,498.20

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Solution

The fourth proportional to 35,678.03, 53,527.84 and 13,498.20 is: 20,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.03 : 53,527.84 = 13,498.20 : x
  2. Step 2: Convert to fraction form
    35,678.03/53,527.84 = 13,498.20/x
  3. Step 3: Cross multiply
    35,678.03x = 53,527.84 × 13,498.20
  4. Step 4: Simplify right side
    35,678.03x = 722,529,489.89
  5. Step 5: Solve for x
    x = 722,529,489.89/35,678.03
  6. Step 6: Final answer
    x = 20,251.38

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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.