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Finding the Fourth Proportional to 84,023.56, 115,951.80 and 46,297

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Solution

The fourth proportional to 84,023.56, 115,951.80 and 46,297 is: 63,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,023.56 : 115,951.80 = 46,297 : x
  2. Step 2: Convert to fraction form
    84,023.56/115,951.80 = 46,297/x
  3. Step 3: Cross multiply
    84,023.56x = 115,951.80 × 46,297
  4. Step 4: Simplify right side
    84,023.56x = 5,368,220,484.60
  5. Step 5: Solve for x
    x = 5,368,220,484.60/84,023.56
  6. Step 6: Final answer
    x = 63,889.47

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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.