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Finding the Fourth Proportional to 30,638.58, 45,964.41 and 10,648.72

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Solution

The fourth proportional to 30,638.58, 45,964.41 and 10,648.72 is: 15,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.58 : 45,964.41 = 10,648.72 : x
  2. Step 2: Convert to fraction form
    30,638.58/45,964.41 = 10,648.72/x
  3. Step 3: Cross multiply
    30,638.58x = 45,964.41 × 10,648.72
  4. Step 4: Simplify right side
    30,638.58x = 489,462,132.06
  5. Step 5: Solve for x
    x = 489,462,132.06/30,638.58
  6. Step 6: Final answer
    x = 15,975.35

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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.