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Finding the Fourth Proportional to 74,684.91, 111,764.10 and 46,618.14

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Solution

The fourth proportional to 74,684.91, 111,764.10 and 46,618.14 is: 69,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,684.91 : 111,764.10 = 46,618.14 : x
  2. Step 2: Convert to fraction form
    74,684.91/111,764.10 = 46,618.14/x
  3. Step 3: Cross multiply
    74,684.91x = 111,764.10 × 46,618.14
  4. Step 4: Simplify right side
    74,684.91x = 5,210,234,460.77
  5. Step 5: Solve for x
    x = 5,210,234,460.77/74,684.91
  6. Step 6: Final answer
    x = 69,762.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.