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Finding the Fourth Proportional to 38,475.36, 53,097.48 and 21,708

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Solution

The fourth proportional to 38,475.36, 53,097.48 and 21,708 is: 29,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.36 : 53,097.48 = 21,708 : x
  2. Step 2: Convert to fraction form
    38,475.36/53,097.48 = 21,708/x
  3. Step 3: Cross multiply
    38,475.36x = 53,097.48 × 21,708
  4. Step 4: Simplify right side
    38,475.36x = 1,152,640,095.84
  5. Step 5: Solve for x
    x = 1,152,640,095.84/38,475.36
  6. Step 6: Final answer
    x = 29,957.88

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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.