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Finding the Fourth Proportional to 32,455.84, 48,606 and 28,956.64

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Solution

The fourth proportional to 32,455.84, 48,606 and 28,956.64 is: 43,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,455.84 : 48,606 = 28,956.64 : x
  2. Step 2: Convert to fraction form
    32,455.84/48,606 = 28,956.64/x
  3. Step 3: Cross multiply
    32,455.84x = 48,606 × 28,956.64
  4. Step 4: Simplify right side
    32,455.84x = 1,407,466,443.84
  5. Step 5: Solve for x
    x = 1,407,466,443.84/32,455.84
  6. Step 6: Final answer
    x = 43,365.58

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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.