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Finding the Fourth Proportional to 38,242.51, 52,774.61 and 21,248.31

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Solution

The fourth proportional to 38,242.51, 52,774.61 and 21,248.31 is: 29,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,242.51 : 52,774.61 = 21,248.31 : x
  2. Step 2: Convert to fraction form
    38,242.51/52,774.61 = 21,248.31/x
  3. Step 3: Cross multiply
    38,242.51x = 52,774.61 × 21,248.31
  4. Step 4: Simplify right side
    38,242.51x = 1,121,371,365.07
  5. Step 5: Solve for x
    x = 1,121,371,365.07/38,242.51
  6. Step 6: Final answer
    x = 29,322.64

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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.