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Finding the Fourth Proportional to 35,905.30, 53,866.03 and 10,947.87

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Solution

The fourth proportional to 35,905.30, 53,866.03 and 10,947.87 is: 16,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,905.30 : 53,866.03 = 10,947.87 : x
  2. Step 2: Convert to fraction form
    35,905.30/53,866.03 = 10,947.87/x
  3. Step 3: Cross multiply
    35,905.30x = 53,866.03 × 10,947.87
  4. Step 4: Simplify right side
    35,905.30x = 589,718,303.30
  5. Step 5: Solve for x
    x = 589,718,303.30/35,905.30
  6. Step 6: Final answer
    x = 16,424.27

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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.