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Finding the Fourth Proportional to 32,889.92, 45,388.09 and 17,782.58

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Solution

The fourth proportional to 32,889.92, 45,388.09 and 17,782.58 is: 24,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889.92 : 45,388.09 = 17,782.58 : x
  2. Step 2: Convert to fraction form
    32,889.92/45,388.09 = 17,782.58/x
  3. Step 3: Cross multiply
    32,889.92x = 45,388.09 × 17,782.58
  4. Step 4: Simplify right side
    32,889.92x = 807,117,341.47
  5. Step 5: Solve for x
    x = 807,117,341.47/32,889.92
  6. Step 6: Final answer
    x = 24,539.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.