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Finding the Fourth Proportional to 33,547, 50,322.21 and 8,587.26

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Solution

The fourth proportional to 33,547, 50,322.21 and 8,587.26 is: 12,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547 : 50,322.21 = 8,587.26 : x
  2. Step 2: Convert to fraction form
    33,547/50,322.21 = 8,587.26/x
  3. Step 3: Cross multiply
    33,547x = 50,322.21 × 8,587.26
  4. Step 4: Simplify right side
    33,547x = 432,129,901.04
  5. Step 5: Solve for x
    x = 432,129,901.04/33,547
  6. Step 6: Final answer
    x = 12,881.33

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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.