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Finding the Fourth Proportional to 74,145.84, 102,321.30 and 40,154.58

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Solution

The fourth proportional to 74,145.84, 102,321.30 and 40,154.58 is: 55,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145.84 : 102,321.30 = 40,154.58 : x
  2. Step 2: Convert to fraction form
    74,145.84/102,321.30 = 40,154.58/x
  3. Step 3: Cross multiply
    74,145.84x = 102,321.30 × 40,154.58
  4. Step 4: Simplify right side
    74,145.84x = 4,108,668,826.55
  5. Step 5: Solve for x
    x = 4,108,668,826.55/74,145.84
  6. Step 6: Final answer
    x = 55,413.34

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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.