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Finding the Fourth Proportional to 32,026.61, 47,975.49 and 15,967.68

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Solution

The fourth proportional to 32,026.61, 47,975.49 and 15,967.68 is: 23,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026.61 : 47,975.49 = 15,967.68 : x
  2. Step 2: Convert to fraction form
    32,026.61/47,975.49 = 15,967.68/x
  3. Step 3: Cross multiply
    32,026.61x = 47,975.49 × 15,967.68
  4. Step 4: Simplify right side
    32,026.61x = 766,057,272.16
  5. Step 5: Solve for x
    x = 766,057,272.16/32,026.61
  6. Step 6: Final answer
    x = 23,919.40

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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.