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Finding the Fourth Proportional to 35,409.40, 53,123.21 and 10,448.44

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Solution

The fourth proportional to 35,409.40, 53,123.21 and 10,448.44 is: 15,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.40 : 53,123.21 = 10,448.44 : x
  2. Step 2: Convert to fraction form
    35,409.40/53,123.21 = 10,448.44/x
  3. Step 3: Cross multiply
    35,409.40x = 53,123.21 × 10,448.44
  4. Step 4: Simplify right side
    35,409.40x = 555,054,672.29
  5. Step 5: Solve for x
    x = 555,054,672.29/35,409.40
  6. Step 6: Final answer
    x = 15,675.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.