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Finding the Fourth Proportional to 77,080.09, 106,387.67 and 46,859

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Solution

The fourth proportional to 77,080.09, 106,387.67 and 46,859 is: 64,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080.09 : 106,387.67 = 46,859 : x
  2. Step 2: Convert to fraction form
    77,080.09/106,387.67 = 46,859/x
  3. Step 3: Cross multiply
    77,080.09x = 106,387.67 × 46,859
  4. Step 4: Simplify right side
    77,080.09x = 4,985,219,594.24
  5. Step 5: Solve for x
    x = 4,985,219,594.24/77,080.09
  6. Step 6: Final answer
    x = 64,675.84

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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.