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Finding the Fourth Proportional to 76,811.76, 106,024.14 and 44,969.04

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Solution

The fourth proportional to 76,811.76, 106,024.14 and 44,969.04 is: 62,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.76 : 106,024.14 = 44,969.04 : x
  2. Step 2: Convert to fraction form
    76,811.76/106,024.14 = 44,969.04/x
  3. Step 3: Cross multiply
    76,811.76x = 106,024.14 × 44,969.04
  4. Step 4: Simplify right side
    76,811.76x = 4,767,803,792.63
  5. Step 5: Solve for x
    x = 4,767,803,792.63/76,811.76
  6. Step 6: Final answer
    x = 62,071.27

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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.