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Finding the Fourth Proportional to 77,021.65, 106,245.54 and 46,373.44

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Solution

The fourth proportional to 77,021.65, 106,245.54 and 46,373.44 is: 63,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,021.65 : 106,245.54 = 46,373.44 : x
  2. Step 2: Convert to fraction form
    77,021.65/106,245.54 = 46,373.44/x
  3. Step 3: Cross multiply
    77,021.65x = 106,245.54 × 46,373.44
  4. Step 4: Simplify right side
    77,021.65x = 4,926,971,174.46
  5. Step 5: Solve for x
    x = 4,926,971,174.46/77,021.65
  6. Step 6: Final answer
    x = 63,968.65

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Why These Related Problems?

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