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Finding the Fourth Proportional to 32,866, 45,355.08 and 21,110.48

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Solution

The fourth proportional to 32,866, 45,355.08 and 21,110.48 is: 29,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866 : 45,355.08 = 21,110.48 : x
  2. Step 2: Convert to fraction form
    32,866/45,355.08 = 21,110.48/x
  3. Step 3: Cross multiply
    32,866x = 45,355.08 × 21,110.48
  4. Step 4: Simplify right side
    32,866x = 957,467,509.24
  5. Step 5: Solve for x
    x = 957,467,509.24/32,866
  6. Step 6: Final answer
    x = 29,132.46

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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.