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Finding the Fourth Proportional to 32,865.60, 49,307.52 and 9,494.40

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Solution

The fourth proportional to 32,865.60, 49,307.52 and 9,494.40 is: 14,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.60 : 49,307.52 = 9,494.40 : x
  2. Step 2: Convert to fraction form
    32,865.60/49,307.52 = 9,494.40/x
  3. Step 3: Cross multiply
    32,865.60x = 49,307.52 × 9,494.40
  4. Step 4: Simplify right side
    32,865.60x = 468,145,317.89
  5. Step 5: Solve for x
    x = 468,145,317.89/32,865.60
  6. Step 6: Final answer
    x = 14,244.23

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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.