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Finding the Fourth Proportional to 32,200.40, 48,300.60 and 16,405.40

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Solution

The fourth proportional to 32,200.40, 48,300.60 and 16,405.40 is: 24,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.40 : 48,300.60 = 16,405.40 : x
  2. Step 2: Convert to fraction form
    32,200.40/48,300.60 = 16,405.40/x
  3. Step 3: Cross multiply
    32,200.40x = 48,300.60 × 16,405.40
  4. Step 4: Simplify right side
    32,200.40x = 792,390,663.24
  5. Step 5: Solve for x
    x = 792,390,663.24/32,200.40
  6. Step 6: Final answer
    x = 24,608.10

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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.