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Finding the Fourth Proportional to 35,574.50, 49,097.14 and 20,670.50

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Solution

The fourth proportional to 35,574.50, 49,097.14 and 20,670.50 is: 28,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.50 : 49,097.14 = 20,670.50 : x
  2. Step 2: Convert to fraction form
    35,574.50/49,097.14 = 20,670.50/x
  3. Step 3: Cross multiply
    35,574.50x = 49,097.14 × 20,670.50
  4. Step 4: Simplify right side
    35,574.50x = 1,014,862,432.37
  5. Step 5: Solve for x
    x = 1,014,862,432.37/35,574.50
  6. Step 6: Final answer
    x = 28,527.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.