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Finding the Fourth Proportional to 84,024, 115,953.48 and 46,297.44

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Solution

The fourth proportional to 84,024, 115,953.48 and 46,297.44 is: 63,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 115,953.48 = 46,297.44 : x
  2. Step 2: Convert to fraction form
    84,024/115,953.48 = 46,297.44/x
  3. Step 3: Cross multiply
    84,024x = 115,953.48 × 46,297.44
  4. Step 4: Simplify right side
    84,024x = 5,368,349,283.09
  5. Step 5: Solve for x
    x = 5,368,349,283.09/84,024
  6. Step 6: Final answer
    x = 63,890.67

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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.