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Finding the Fourth Proportional to 76,678.52, 105,821.19 and 46,466.48

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Solution

The fourth proportional to 76,678.52, 105,821.19 and 46,466.48 is: 64,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678.52 : 105,821.19 = 46,466.48 : x
  2. Step 2: Convert to fraction form
    76,678.52/105,821.19 = 46,466.48/x
  3. Step 3: Cross multiply
    76,678.52x = 105,821.19 × 46,466.48
  4. Step 4: Simplify right side
    76,678.52x = 4,917,137,976.38
  5. Step 5: Solve for x
    x = 4,917,137,976.38/76,678.52
  6. Step 6: Final answer
    x = 64,126.67

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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.