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Finding the Fourth Proportional to 77,842.17, 107,414.91 and 46,004.85

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Solution

The fourth proportional to 77,842.17, 107,414.91 and 46,004.85 is: 63,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.17 : 107,414.91 = 46,004.85 : x
  2. Step 2: Convert to fraction form
    77,842.17/107,414.91 = 46,004.85/x
  3. Step 3: Cross multiply
    77,842.17x = 107,414.91 × 46,004.85
  4. Step 4: Simplify right side
    77,842.17x = 4,941,606,822.31
  5. Step 5: Solve for x
    x = 4,941,606,822.31/77,842.17
  6. Step 6: Final answer
    x = 63,482.39

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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.