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Finding the Fourth Proportional to 76,675.82, 105,823.94 and 46,050.98

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Solution

The fourth proportional to 76,675.82, 105,823.94 and 46,050.98 is: 63,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.82 : 105,823.94 = 46,050.98 : x
  2. Step 2: Convert to fraction form
    76,675.82/105,823.94 = 46,050.98/x
  3. Step 3: Cross multiply
    76,675.82x = 105,823.94 × 46,050.98
  4. Step 4: Simplify right side
    76,675.82x = 4,873,296,144.46
  5. Step 5: Solve for x
    x = 4,873,296,144.46/76,675.82
  6. Step 6: Final answer
    x = 63,557.14

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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.