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Finding the Fourth Proportional to 76,470.76, 114,661.50 and 29,668.96

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Solution

The fourth proportional to 76,470.76, 114,661.50 and 29,668.96 is: 44,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470.76 : 114,661.50 = 29,668.96 : x
  2. Step 2: Convert to fraction form
    76,470.76/114,661.50 = 29,668.96/x
  3. Step 3: Cross multiply
    76,470.76x = 114,661.50 × 29,668.96
  4. Step 4: Simplify right side
    76,470.76x = 3,401,887,457.04
  5. Step 5: Solve for x
    x = 3,401,887,457.04/76,470.76
  6. Step 6: Final answer
    x = 44,486.12

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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.