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Finding the Fourth Proportional to 32,285.75, 48,428.55 and 10,099.11

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Solution

The fourth proportional to 32,285.75, 48,428.55 and 10,099.11 is: 15,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,285.75 : 48,428.55 = 10,099.11 : x
  2. Step 2: Convert to fraction form
    32,285.75/48,428.55 = 10,099.11/x
  3. Step 3: Cross multiply
    32,285.75x = 48,428.55 × 10,099.11
  4. Step 4: Simplify right side
    32,285.75x = 489,085,253.59
  5. Step 5: Solve for x
    x = 489,085,253.59/32,285.75
  6. Step 6: Final answer
    x = 15,148.64

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1.5x scale

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.