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Finding the Fourth Proportional to 76,896.50, 106,123.65 and 43,368.98

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Solution

The fourth proportional to 76,896.50, 106,123.65 and 43,368.98 is: 59,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896.50 : 106,123.65 = 43,368.98 : x
  2. Step 2: Convert to fraction form
    76,896.50/106,123.65 = 43,368.98/x
  3. Step 3: Cross multiply
    76,896.50x = 106,123.65 × 43,368.98
  4. Step 4: Simplify right side
    76,896.50x = 4,602,474,454.38
  5. Step 5: Solve for x
    x = 4,602,474,454.38/76,896.50
  6. Step 6: Final answer
    x = 59,852.85

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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.