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Finding the Fourth Proportional to 38,492.25, 53,120.21 and 21,495.62

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Solution

The fourth proportional to 38,492.25, 53,120.21 and 21,495.62 is: 29,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.25 : 53,120.21 = 21,495.62 : x
  2. Step 2: Convert to fraction form
    38,492.25/53,120.21 = 21,495.62/x
  3. Step 3: Cross multiply
    38,492.25x = 53,120.21 × 21,495.62
  4. Step 4: Simplify right side
    38,492.25x = 1,141,851,475.40
  5. Step 5: Solve for x
    x = 1,141,851,475.40/38,492.25
  6. Step 6: Final answer
    x = 29,664.45

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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.