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Finding the Fourth Proportional to 32,152.40, 48,228.60 and 9,965.60

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Solution

The fourth proportional to 32,152.40, 48,228.60 and 9,965.60 is: 14,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.40 : 48,228.60 = 9,965.60 : x
  2. Step 2: Convert to fraction form
    32,152.40/48,228.60 = 9,965.60/x
  3. Step 3: Cross multiply
    32,152.40x = 48,228.60 × 9,965.60
  4. Step 4: Simplify right side
    32,152.40x = 480,626,936.16
  5. Step 5: Solve for x
    x = 480,626,936.16/32,152.40
  6. Step 6: Final answer
    x = 14,948.40

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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.