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Finding the Fourth Proportional to 32,905.60, 49,390.80 and 16,284.40

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Solution

The fourth proportional to 32,905.60, 49,390.80 and 16,284.40 is: 24,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.60 : 49,390.80 = 16,284.40 : x
  2. Step 2: Convert to fraction form
    32,905.60/49,390.80 = 16,284.40/x
  3. Step 3: Cross multiply
    32,905.60x = 49,390.80 × 16,284.40
  4. Step 4: Simplify right side
    32,905.60x = 804,299,543.52
  5. Step 5: Solve for x
    x = 804,299,543.52/32,905.60
  6. Step 6: Final answer
    x = 24,442.63

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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.