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Finding the Fourth Proportional to 32,783.40, 49,182.39 and 9,408

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Solution

The fourth proportional to 32,783.40, 49,182.39 and 9,408 is: 14,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.40 : 49,182.39 = 9,408 : x
  2. Step 2: Convert to fraction form
    32,783.40/49,182.39 = 9,408/x
  3. Step 3: Cross multiply
    32,783.40x = 49,182.39 × 9,408
  4. Step 4: Simplify right side
    32,783.40x = 462,707,925.12
  5. Step 5: Solve for x
    x = 462,707,925.12/32,783.40
  6. Step 6: Final answer
    x = 14,114.09

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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.