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Finding the Fourth Proportional to 38,617, 53,291.46 and 20,953

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Solution

The fourth proportional to 38,617, 53,291.46 and 20,953 is: 28,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617 : 53,291.46 = 20,953 : x
  2. Step 2: Convert to fraction form
    38,617/53,291.46 = 20,953/x
  3. Step 3: Cross multiply
    38,617x = 53,291.46 × 20,953
  4. Step 4: Simplify right side
    38,617x = 1,116,615,961.38
  5. Step 5: Solve for x
    x = 1,116,615,961.38/38,617
  6. Step 6: Final answer
    x = 28,915.14

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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.