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Finding the Fourth Proportional to 35,980.94, 53,975.00 and 11,020.70

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Solution

The fourth proportional to 35,980.94, 53,975.00 and 11,020.70 is: 16,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.94 : 53,975.00 = 11,020.70 : x
  2. Step 2: Convert to fraction form
    35,980.94/53,975.00 = 11,020.70/x
  3. Step 3: Cross multiply
    35,980.94x = 53,975.00 × 11,020.70
  4. Step 4: Simplify right side
    35,980.94x = 594,842,040.18
  5. Step 5: Solve for x
    x = 594,842,040.18/35,980.94
  6. Step 6: Final answer
    x = 16,532.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.