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Finding the Fourth Proportional to 32,336.40, 48,468.60 and 15,704.40

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Solution

The fourth proportional to 32,336.40, 48,468.60 and 15,704.40 is: 23,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,336.40 : 48,468.60 = 15,704.40 : x
  2. Step 2: Convert to fraction form
    32,336.40/48,468.60 = 15,704.40/x
  3. Step 3: Cross multiply
    32,336.40x = 48,468.60 × 15,704.40
  4. Step 4: Simplify right side
    32,336.40x = 761,170,281.84
  5. Step 5: Solve for x
    x = 761,170,281.84/32,336.40
  6. Step 6: Final answer
    x = 23,539.12

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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.