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Finding the Fourth Proportional to 102,449.96, 153,669.38 and 39,300.36

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Solution

The fourth proportional to 102,449.96, 153,669.38 and 39,300.36 is: 58,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449.96 : 153,669.38 = 39,300.36 : x
  2. Step 2: Convert to fraction form
    102,449.96/153,669.38 = 39,300.36/x
  3. Step 3: Cross multiply
    102,449.96x = 153,669.38 × 39,300.36
  4. Step 4: Simplify right side
    102,449.96x = 6,039,261,954.98
  5. Step 5: Solve for x
    x = 6,039,261,954.98/102,449.96
  6. Step 6: Final answer
    x = 58,948.41

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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.