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Finding the Fourth Proportional to 40,189.46, 55,461.35 and 22,284

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Solution

The fourth proportional to 40,189.46, 55,461.35 and 22,284 is: 30,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189.46 : 55,461.35 = 22,284 : x
  2. Step 2: Convert to fraction form
    40,189.46/55,461.35 = 22,284/x
  3. Step 3: Cross multiply
    40,189.46x = 55,461.35 × 22,284
  4. Step 4: Simplify right side
    40,189.46x = 1,235,900,779.11
  5. Step 5: Solve for x
    x = 1,235,900,779.11/40,189.46
  6. Step 6: Final answer
    x = 30,751.87

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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.