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Finding the Fourth Proportional to 121,368.50, 182,083.47 and 33,816.50

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Solution

The fourth proportional to 121,368.50, 182,083.47 and 33,816.50 is: 50,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,368.50 : 182,083.47 = 33,816.50 : x
  2. Step 2: Convert to fraction form
    121,368.50/182,083.47 = 33,816.50/x
  3. Step 3: Cross multiply
    121,368.50x = 182,083.47 × 33,816.50
  4. Step 4: Simplify right side
    121,368.50x = 6,157,425,663.26
  5. Step 5: Solve for x
    x = 6,157,425,663.26/121,368.50
  6. Step 6: Final answer
    x = 50,733.31

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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.