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Finding the Fourth Proportional to 32,675.96, 49,030.14 and 12,954.08

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Solution

The fourth proportional to 32,675.96, 49,030.14 and 12,954.08 is: 19,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.96 : 49,030.14 = 12,954.08 : x
  2. Step 2: Convert to fraction form
    32,675.96/49,030.14 = 12,954.08/x
  3. Step 3: Cross multiply
    32,675.96x = 49,030.14 × 12,954.08
  4. Step 4: Simplify right side
    32,675.96x = 635,140,355.97
  5. Step 5: Solve for x
    x = 635,140,355.97/32,675.96
  6. Step 6: Final answer
    x = 19,437.54

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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.