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Finding the Fourth Proportional to 76,967.42, 106,247.50 and 46,762.52

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Solution

The fourth proportional to 76,967.42, 106,247.50 and 46,762.52 is: 64,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967.42 : 106,247.50 = 46,762.52 : x
  2. Step 2: Convert to fraction form
    76,967.42/106,247.50 = 46,762.52/x
  3. Step 3: Cross multiply
    76,967.42x = 106,247.50 × 46,762.52
  4. Step 4: Simplify right side
    76,967.42x = 4,968,400,195.56
  5. Step 5: Solve for x
    x = 4,968,400,195.56/76,967.42
  6. Step 6: Final answer
    x = 64,552.00

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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.