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Finding the Fourth Proportional to 76,648.00, 114,775.16 and 46,975.94

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Solution

The fourth proportional to 76,648.00, 114,775.16 and 46,975.94 is: 70,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648.00 : 114,775.16 = 46,975.94 : x
  2. Step 2: Convert to fraction form
    76,648.00/114,775.16 = 46,975.94/x
  3. Step 3: Cross multiply
    76,648.00x = 114,775.16 × 46,975.94
  4. Step 4: Simplify right side
    76,648.00x = 5,391,670,794.77
  5. Step 5: Solve for x
    x = 5,391,670,794.77/76,648.00
  6. Step 6: Final answer
    x = 70,343.27

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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.