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Finding the Fourth Proportional to 77,080.34, 106,388.01 and 46,859.25

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Solution

The fourth proportional to 77,080.34, 106,388.01 and 46,859.25 is: 64,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080.34 : 106,388.01 = 46,859.25 : x
  2. Step 2: Convert to fraction form
    77,080.34/106,388.01 = 46,859.25/x
  3. Step 3: Cross multiply
    77,080.34x = 106,388.01 × 46,859.25
  4. Step 4: Simplify right side
    77,080.34x = 4,985,262,357.59
  5. Step 5: Solve for x
    x = 4,985,262,357.59/77,080.34
  6. Step 6: Final answer
    x = 64,676.19

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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.