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Finding the Fourth Proportional to 38,926, 53,719.16 and 21,262

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Solution

The fourth proportional to 38,926, 53,719.16 and 21,262 is: 29,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,926 : 53,719.16 = 21,262 : x
  2. Step 2: Convert to fraction form
    38,926/53,719.16 = 21,262/x
  3. Step 3: Cross multiply
    38,926x = 53,719.16 × 21,262
  4. Step 4: Simplify right side
    38,926x = 1,142,176,779.92
  5. Step 5: Solve for x
    x = 1,142,176,779.92/38,926
  6. Step 6: Final answer
    x = 29,342.26

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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.