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Finding the Fourth Proportional to 32,856.90, 49,285.35 and 9,164.40

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Solution

The fourth proportional to 32,856.90, 49,285.35 and 9,164.40 is: 13,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.90 : 49,285.35 = 9,164.40 : x
  2. Step 2: Convert to fraction form
    32,856.90/49,285.35 = 9,164.40/x
  3. Step 3: Cross multiply
    32,856.90x = 49,285.35 × 9,164.40
  4. Step 4: Simplify right side
    32,856.90x = 451,670,661.54
  5. Step 5: Solve for x
    x = 451,670,661.54/32,856.90
  6. Step 6: Final answer
    x = 13,746.60

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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.