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Finding the Fourth Proportional to 77,802.46, 116,714.32 and 27,896.33

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Solution

The fourth proportional to 77,802.46, 116,714.32 and 27,896.33 is: 41,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.46 : 116,714.32 = 27,896.33 : x
  2. Step 2: Convert to fraction form
    77,802.46/116,714.32 = 27,896.33/x
  3. Step 3: Cross multiply
    77,802.46x = 116,714.32 × 27,896.33
  4. Step 4: Simplify right side
    77,802.46x = 3,255,901,408.49
  5. Step 5: Solve for x
    x = 3,255,901,408.49/77,802.46
  6. Step 6: Final answer
    x = 41,848.31

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1.5x scale

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.