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Finding the Fourth Proportional to 38,471.58, 53,090.56 and 21,474.84

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Solution

The fourth proportional to 38,471.58, 53,090.56 and 21,474.84 is: 29,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.58 : 53,090.56 = 21,474.84 : x
  2. Step 2: Convert to fraction form
    38,471.58/53,090.56 = 21,474.84/x
  3. Step 3: Cross multiply
    38,471.58x = 53,090.56 × 21,474.84
  4. Step 4: Simplify right side
    38,471.58x = 1,140,111,281.51
  5. Step 5: Solve for x
    x = 1,140,111,281.51/38,471.58
  6. Step 6: Final answer
    x = 29,635.16

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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.