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Finding the Fourth Proportional to 38,521.68, 53,166.04 and 23,419.08

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Solution

The fourth proportional to 38,521.68, 53,166.04 and 23,419.08 is: 32,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.68 : 53,166.04 = 23,419.08 : x
  2. Step 2: Convert to fraction form
    38,521.68/53,166.04 = 23,419.08/x
  3. Step 3: Cross multiply
    38,521.68x = 53,166.04 × 23,419.08
  4. Step 4: Simplify right side
    38,521.68x = 1,245,099,744.04
  5. Step 5: Solve for x
    x = 1,245,099,744.04/38,521.68
  6. Step 6: Final answer
    x = 32,322.05

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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.