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Finding the Fourth Proportional to 38,113, 52,596.21 and 21,346

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Solution

The fourth proportional to 38,113, 52,596.21 and 21,346 is: 29,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113 : 52,596.21 = 21,346 : x
  2. Step 2: Convert to fraction form
    38,113/52,596.21 = 21,346/x
  3. Step 3: Cross multiply
    38,113x = 52,596.21 × 21,346
  4. Step 4: Simplify right side
    38,113x = 1,122,718,698.66
  5. Step 5: Solve for x
    x = 1,122,718,698.66/38,113
  6. Step 6: Final answer
    x = 29,457.63

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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.