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Finding the Fourth Proportional to 76,155.89, 105,106.19 and 43,884.22

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Solution

The fourth proportional to 76,155.89, 105,106.19 and 43,884.22 is: 60,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,155.89 : 105,106.19 = 43,884.22 : x
  2. Step 2: Convert to fraction form
    76,155.89/105,106.19 = 43,884.22/x
  3. Step 3: Cross multiply
    76,155.89x = 105,106.19 × 43,884.22
  4. Step 4: Simplify right side
    76,155.89x = 4,612,502,880.21
  5. Step 5: Solve for x
    x = 4,612,502,880.21/76,155.89
  6. Step 6: Final answer
    x = 60,566.60

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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.