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Finding the Fourth Proportional to 46,220.40, 69,308.64 and 22,819.50

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Solution

The fourth proportional to 46,220.40, 69,308.64 and 22,819.50 is: 34,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,220.40 : 69,308.64 = 22,819.50 : x
  2. Step 2: Convert to fraction form
    46,220.40/69,308.64 = 22,819.50/x
  3. Step 3: Cross multiply
    46,220.40x = 69,308.64 × 22,819.50
  4. Step 4: Simplify right side
    46,220.40x = 1,581,588,510.48
  5. Step 5: Solve for x
    x = 1,581,588,510.48/46,220.40
  6. Step 6: Final answer
    x = 34,218.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.