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Finding the Fourth Proportional to 38,212, 52,732.58 and 21,445

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Solution

The fourth proportional to 38,212, 52,732.58 and 21,445 is: 29,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,212 : 52,732.58 = 21,445 : x
  2. Step 2: Convert to fraction form
    38,212/52,732.58 = 21,445/x
  3. Step 3: Cross multiply
    38,212x = 52,732.58 × 21,445
  4. Step 4: Simplify right side
    38,212x = 1,130,850,178.10
  5. Step 5: Solve for x
    x = 1,130,850,178.10/38,212
  6. Step 6: Final answer
    x = 29,594.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.