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Finding the Fourth Proportional to 30,054, 41,459.40 and 19,301.52

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Solution

The fourth proportional to 30,054, 41,459.40 and 19,301.52 is: 26,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054 : 41,459.40 = 19,301.52 : x
  2. Step 2: Convert to fraction form
    30,054/41,459.40 = 19,301.52/x
  3. Step 3: Cross multiply
    30,054x = 41,459.40 × 19,301.52
  4. Step 4: Simplify right side
    30,054x = 800,229,438.29
  5. Step 5: Solve for x
    x = 800,229,438.29/30,054
  6. Step 6: Final answer
    x = 26,626.39

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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.