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Finding the Fourth Proportional to 42,543, 63,843.66 and 14,841

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Solution

The fourth proportional to 42,543, 63,843.66 and 14,841 is: 22,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,543 : 63,843.66 = 14,841 : x
  2. Step 2: Convert to fraction form
    42,543/63,843.66 = 14,841/x
  3. Step 3: Cross multiply
    42,543x = 63,843.66 × 14,841
  4. Step 4: Simplify right side
    42,543x = 947,503,758.06
  5. Step 5: Solve for x
    x = 947,503,758.06/42,543
  6. Step 6: Final answer
    x = 22,271.67

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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.