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Finding the Fourth Proportional to 38,054.40, 52,512.96 and 21,284.16

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Solution

The fourth proportional to 38,054.40, 52,512.96 and 21,284.16 is: 29,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054.40 : 52,512.96 = 21,284.16 : x
  2. Step 2: Convert to fraction form
    38,054.40/52,512.96 = 21,284.16/x
  3. Step 3: Cross multiply
    38,054.40x = 52,512.96 × 21,284.16
  4. Step 4: Simplify right side
    38,054.40x = 1,117,694,242.71
  5. Step 5: Solve for x
    x = 1,117,694,242.71/38,054.40
  6. Step 6: Final answer
    x = 29,370.96

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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.