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Finding the Fourth Proportional to 38,715.69, 53,430.21 and 21,721.14

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Solution

The fourth proportional to 38,715.69, 53,430.21 and 21,721.14 is: 29,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715.69 : 53,430.21 = 21,721.14 : x
  2. Step 2: Convert to fraction form
    38,715.69/53,430.21 = 21,721.14/x
  3. Step 3: Cross multiply
    38,715.69x = 53,430.21 × 21,721.14
  4. Step 4: Simplify right side
    38,715.69x = 1,160,565,071.64
  5. Step 5: Solve for x
    x = 1,160,565,071.64/38,715.69
  6. Step 6: Final answer
    x = 29,976.61

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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.