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Finding the Fourth Proportional to 38,051.64, 52,513.11 and 21,055.82

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Solution

The fourth proportional to 38,051.64, 52,513.11 and 21,055.82 is: 29,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.64 : 52,513.11 = 21,055.82 : x
  2. Step 2: Convert to fraction form
    38,051.64/52,513.11 = 21,055.82/x
  3. Step 3: Cross multiply
    38,051.64x = 52,513.11 × 21,055.82
  4. Step 4: Simplify right side
    38,051.64x = 1,105,706,329.23
  5. Step 5: Solve for x
    x = 1,105,706,329.23/38,051.64
  6. Step 6: Final answer
    x = 29,058.05

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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.