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Finding the Fourth Proportional to 42,544, 58,710.74 and 23,682.36

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Solution

The fourth proportional to 42,544, 58,710.74 and 23,682.36 is: 32,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,544 : 58,710.74 = 23,682.36 : x
  2. Step 2: Convert to fraction form
    42,544/58,710.74 = 23,682.36/x
  3. Step 3: Cross multiply
    42,544x = 58,710.74 × 23,682.36
  4. Step 4: Simplify right side
    42,544x = 1,390,408,880.55
  5. Step 5: Solve for x
    x = 1,390,408,880.55/42,544
  6. Step 6: Final answer
    x = 32,681.67

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Why These Related Problems?

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