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Finding the Fourth Proportional to 32,259.96, 48,325.23 and 16,464.35

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Solution

The fourth proportional to 32,259.96, 48,325.23 and 16,464.35 is: 24,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259.96 : 48,325.23 = 16,464.35 : x
  2. Step 2: Convert to fraction form
    32,259.96/48,325.23 = 16,464.35/x
  3. Step 3: Cross multiply
    32,259.96x = 48,325.23 × 16,464.35
  4. Step 4: Simplify right side
    32,259.96x = 795,643,258.92
  5. Step 5: Solve for x
    x = 795,643,258.92/32,259.96
  6. Step 6: Final answer
    x = 24,663.49

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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.