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Finding the Fourth Proportional to 32,798.44, 45,274.98 and 21,647.08

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Solution

The fourth proportional to 32,798.44, 45,274.98 and 21,647.08 is: 29,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.44 : 45,274.98 = 21,647.08 : x
  2. Step 2: Convert to fraction form
    32,798.44/45,274.98 = 21,647.08/x
  3. Step 3: Cross multiply
    32,798.44x = 45,274.98 × 21,647.08
  4. Step 4: Simplify right side
    32,798.44x = 980,071,114.06
  5. Step 5: Solve for x
    x = 980,071,114.06/32,798.44
  6. Step 6: Final answer
    x = 29,881.64

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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.