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Finding the Fourth Proportional to 32,044.22, 48,064.87 and 9,856.63

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Solution

The fourth proportional to 32,044.22, 48,064.87 and 9,856.63 is: 14,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.22 : 48,064.87 = 9,856.63 : x
  2. Step 2: Convert to fraction form
    32,044.22/48,064.87 = 9,856.63/x
  3. Step 3: Cross multiply
    32,044.22x = 48,064.87 × 9,856.63
  4. Step 4: Simplify right side
    32,044.22x = 473,757,711.99
  5. Step 5: Solve for x
    x = 473,757,711.99/32,044.22
  6. Step 6: Final answer
    x = 14,784.50

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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.