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Finding the Fourth Proportional to 32,028.61, 47,978.49 and 15,969.68

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Solution

The fourth proportional to 32,028.61, 47,978.49 and 15,969.68 is: 23,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028.61 : 47,978.49 = 15,969.68 : x
  2. Step 2: Convert to fraction form
    32,028.61/47,978.49 = 15,969.68/x
  3. Step 3: Cross multiply
    32,028.61x = 47,978.49 × 15,969.68
  4. Step 4: Simplify right side
    32,028.61x = 766,201,132.18
  5. Step 5: Solve for x
    x = 766,201,132.18/32,028.61
  6. Step 6: Final answer
    x = 23,922.40

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1.5x scale

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.