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Finding the Fourth Proportional to 32,403.84, 48,612.54 and 13,683.93

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Solution

The fourth proportional to 32,403.84, 48,612.54 and 13,683.93 is: 20,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.84 : 48,612.54 = 13,683.93 : x
  2. Step 2: Convert to fraction form
    32,403.84/48,612.54 = 13,683.93/x
  3. Step 3: Cross multiply
    32,403.84x = 48,612.54 × 13,683.93
  4. Step 4: Simplify right side
    32,403.84x = 665,210,594.48
  5. Step 5: Solve for x
    x = 665,210,594.48/32,403.84
  6. Step 6: Final answer
    x = 20,528.76

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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.