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Finding the Fourth Proportional to 76,673.82, 105,821.18 and 46,048.98

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Solution

The fourth proportional to 76,673.82, 105,821.18 and 46,048.98 is: 63,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,673.82 : 105,821.18 = 46,048.98 : x
  2. Step 2: Convert to fraction form
    76,673.82/105,821.18 = 46,048.98/x
  3. Step 3: Cross multiply
    76,673.82x = 105,821.18 × 46,048.98
  4. Step 4: Simplify right side
    76,673.82x = 4,872,957,401.40
  5. Step 5: Solve for x
    x = 4,872,957,401.40/76,673.82
  6. Step 6: Final answer
    x = 63,554.38

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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.