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Finding the Fourth Proportional to 74,123.52, 102,299.04 and 42,297

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Solution

The fourth proportional to 74,123.52, 102,299.04 and 42,297 is: 58,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,123.52 : 102,299.04 = 42,297 : x
  2. Step 2: Convert to fraction form
    74,123.52/102,299.04 = 42,297/x
  3. Step 3: Cross multiply
    74,123.52x = 102,299.04 × 42,297
  4. Step 4: Simplify right side
    74,123.52x = 4,326,942,494.88
  5. Step 5: Solve for x
    x = 4,326,942,494.88/74,123.52
  6. Step 6: Final answer
    x = 58,374.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.