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Finding the Fourth Proportional to 32,746.68, 49,120.56 and 11,970

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Solution

The fourth proportional to 32,746.68, 49,120.56 and 11,970 is: 17,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.68 : 49,120.56 = 11,970 : x
  2. Step 2: Convert to fraction form
    32,746.68/49,120.56 = 11,970/x
  3. Step 3: Cross multiply
    32,746.68x = 49,120.56 × 11,970
  4. Step 4: Simplify right side
    32,746.68x = 587,973,103.20
  5. Step 5: Solve for x
    x = 587,973,103.20/32,746.68
  6. Step 6: Final answer
    x = 17,955.20

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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.