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Finding the Fourth Proportional to 109,842.68, 164,762.48 and 43,283.39

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Solution

The fourth proportional to 109,842.68, 164,762.48 and 43,283.39 is: 64,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,842.68 : 164,762.48 = 43,283.39 : x
  2. Step 2: Convert to fraction form
    109,842.68/164,762.48 = 43,283.39/x
  3. Step 3: Cross multiply
    109,842.68x = 164,762.48 × 43,283.39
  4. Step 4: Simplify right side
    109,842.68x = 7,131,477,747.19
  5. Step 5: Solve for x
    x = 7,131,477,747.19/109,842.68
  6. Step 6: Final answer
    x = 64,924.47

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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.