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Finding the Fourth Proportional to 33,347.20, 46,018.56 and 19,200

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Solution

The fourth proportional to 33,347.20, 46,018.56 and 19,200 is: 26,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,347.20 : 46,018.56 = 19,200 : x
  2. Step 2: Convert to fraction form
    33,347.20/46,018.56 = 19,200/x
  3. Step 3: Cross multiply
    33,347.20x = 46,018.56 × 19,200
  4. Step 4: Simplify right side
    33,347.20x = 883,556,352
  5. Step 5: Solve for x
    x = 883,556,352/33,347.20
  6. Step 6: Final answer
    x = 26,495.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.