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Finding the Fourth Proportional to 74,507.69, 102,821.84 and 40,516.85

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Solution

The fourth proportional to 74,507.69, 102,821.84 and 40,516.85 is: 55,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,507.69 : 102,821.84 = 40,516.85 : x
  2. Step 2: Convert to fraction form
    74,507.69/102,821.84 = 40,516.85/x
  3. Step 3: Cross multiply
    74,507.69x = 102,821.84 × 40,516.85
  4. Step 4: Simplify right side
    74,507.69x = 4,166,017,068.00
  5. Step 5: Solve for x
    x = 4,166,017,068.00/74,507.69
  6. Step 6: Final answer
    x = 55,913.92

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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.