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Finding the Fourth Proportional to 32,893.50, 49,340.76 and 9,520.02

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Solution

The fourth proportional to 32,893.50, 49,340.76 and 9,520.02 is: 14,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.50 : 49,340.76 = 9,520.02 : x
  2. Step 2: Convert to fraction form
    32,893.50/49,340.76 = 9,520.02/x
  3. Step 3: Cross multiply
    32,893.50x = 49,340.76 × 9,520.02
  4. Step 4: Simplify right side
    32,893.50x = 469,725,022.02
  5. Step 5: Solve for x
    x = 469,725,022.02/32,893.50
  6. Step 6: Final answer
    x = 14,280.18

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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.