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Finding the Fourth Proportional to 76,728.01, 105,889.97 and 46,514.60

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Solution

The fourth proportional to 76,728.01, 105,889.97 and 46,514.60 is: 64,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.01 : 105,889.97 = 46,514.60 : x
  2. Step 2: Convert to fraction form
    76,728.01/105,889.97 = 46,514.60/x
  3. Step 3: Cross multiply
    76,728.01x = 105,889.97 × 46,514.60
  4. Step 4: Simplify right side
    76,728.01x = 4,925,429,598.56
  5. Step 5: Solve for x
    x = 4,925,429,598.56/76,728.01
  6. Step 6: Final answer
    x = 64,193.38

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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.