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Finding the Fourth Proportional to 32,322, 48,483 and 13,854

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Solution

The fourth proportional to 32,322, 48,483 and 13,854 is: 20,781

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322 : 48,483 = 13,854 : x
  2. Step 2: Convert to fraction form
    32,322/48,483 = 13,854/x
  3. Step 3: Cross multiply
    32,322x = 48,483 × 13,854
  4. Step 4: Simplify right side
    32,322x = 671,683,482
  5. Step 5: Solve for x
    x = 671,683,482/32,322
  6. Step 6: Final answer
    x = 20,781

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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.