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Finding the Fourth Proportional to 74,257.45, 102,465.84 and 42,428.41

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Solution

The fourth proportional to 74,257.45, 102,465.84 and 42,428.41 is: 58,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,257.45 : 102,465.84 = 42,428.41 : x
  2. Step 2: Convert to fraction form
    74,257.45/102,465.84 = 42,428.41/x
  3. Step 3: Cross multiply
    74,257.45x = 102,465.84 × 42,428.41
  4. Step 4: Simplify right side
    74,257.45x = 4,347,462,670.51
  5. Step 5: Solve for x
    x = 4,347,462,670.51/74,257.45
  6. Step 6: Final answer
    x = 58,545.81

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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.