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Finding the Fourth Proportional to 38,400.09, 52,996.01 and 21,407.10

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Solution

The fourth proportional to 38,400.09, 52,996.01 and 21,407.10 is: 29,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.09 : 52,996.01 = 21,407.10 : x
  2. Step 2: Convert to fraction form
    38,400.09/52,996.01 = 21,407.10/x
  3. Step 3: Cross multiply
    38,400.09x = 52,996.01 × 21,407.10
  4. Step 4: Simplify right side
    38,400.09x = 1,134,490,778.64
  5. Step 5: Solve for x
    x = 1,134,490,778.64/38,400.09
  6. Step 6: Final answer
    x = 29,543.96

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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.