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Finding the Fourth Proportional to 32,510, 48,765.02 and 7,886

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Solution

The fourth proportional to 32,510, 48,765.02 and 7,886 is: 11,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510 : 48,765.02 = 7,886 : x
  2. Step 2: Convert to fraction form
    32,510/48,765.02 = 7,886/x
  3. Step 3: Cross multiply
    32,510x = 48,765.02 × 7,886
  4. Step 4: Simplify right side
    32,510x = 384,560,947.72
  5. Step 5: Solve for x
    x = 384,560,947.72/32,510
  6. Step 6: Final answer
    x = 11,829.00

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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.