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Finding the Fourth Proportional to 38,410.31, 53,001.92 and 21,413.27

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Solution

The fourth proportional to 38,410.31, 53,001.92 and 21,413.27 is: 29,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.31 : 53,001.92 = 21,413.27 : x
  2. Step 2: Convert to fraction form
    38,410.31/53,001.92 = 21,413.27/x
  3. Step 3: Cross multiply
    38,410.31x = 53,001.92 × 21,413.27
  4. Step 4: Simplify right side
    38,410.31x = 1,134,944,051.40
  5. Step 5: Solve for x
    x = 1,134,944,051.40/38,410.31
  6. Step 6: Final answer
    x = 29,547.91

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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.