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Finding the Fourth Proportional to 38,458.44, 53,070.93 and 21,461.76

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Solution

The fourth proportional to 38,458.44, 53,070.93 and 21,461.76 is: 29,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.44 : 53,070.93 = 21,461.76 : x
  2. Step 2: Convert to fraction form
    38,458.44/53,070.93 = 21,461.76/x
  3. Step 3: Cross multiply
    38,458.44x = 53,070.93 × 21,461.76
  4. Step 4: Simplify right side
    38,458.44x = 1,138,995,562.64
  5. Step 5: Solve for x
    x = 1,138,995,562.64/38,458.44
  6. Step 6: Final answer
    x = 29,616.27

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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.