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Finding the Fourth Proportional to 38,971.88, 53,777.94 and 21,980.30

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Solution

The fourth proportional to 38,971.88, 53,777.94 and 21,980.30 is: 30,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.88 : 53,777.94 = 21,980.30 : x
  2. Step 2: Convert to fraction form
    38,971.88/53,777.94 = 21,980.30/x
  3. Step 3: Cross multiply
    38,971.88x = 53,777.94 × 21,980.30
  4. Step 4: Simplify right side
    38,971.88x = 1,182,055,254.58
  5. Step 5: Solve for x
    x = 1,182,055,254.58/38,971.88
  6. Step 6: Final answer
    x = 30,330.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.