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Finding the Fourth Proportional to 35,315.76, 52,980.93 and 11,944.02

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Solution

The fourth proportional to 35,315.76, 52,980.93 and 11,944.02 is: 17,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,315.76 : 52,980.93 = 11,944.02 : x
  2. Step 2: Convert to fraction form
    35,315.76/52,980.93 = 11,944.02/x
  3. Step 3: Cross multiply
    35,315.76x = 52,980.93 × 11,944.02
  4. Step 4: Simplify right side
    35,315.76x = 632,805,287.54
  5. Step 5: Solve for x
    x = 632,805,287.54/35,315.76
  6. Step 6: Final answer
    x = 17,918.50

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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.