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Finding the Fourth Proportional to 46,241.76, 69,373.56 and 15,077

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Solution

The fourth proportional to 46,241.76, 69,373.56 and 15,077 is: 22,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,241.76 : 69,373.56 = 15,077 : x
  2. Step 2: Convert to fraction form
    46,241.76/69,373.56 = 15,077/x
  3. Step 3: Cross multiply
    46,241.76x = 69,373.56 × 15,077
  4. Step 4: Simplify right side
    46,241.76x = 1,045,945,164.12
  5. Step 5: Solve for x
    x = 1,045,945,164.12/46,241.76
  6. Step 6: Final answer
    x = 22,619.06

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Why These Related Problems?

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