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Finding the Fourth Proportional to 38,210.50, 52,733.64 and 21,215.80

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Solution

The fourth proportional to 38,210.50, 52,733.64 and 21,215.80 is: 29,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,210.50 : 52,733.64 = 21,215.80 : x
  2. Step 2: Convert to fraction form
    38,210.50/52,733.64 = 21,215.80/x
  3. Step 3: Cross multiply
    38,210.50x = 52,733.64 × 21,215.80
  4. Step 4: Simplify right side
    38,210.50x = 1,118,786,359.51
  5. Step 5: Solve for x
    x = 1,118,786,359.51/38,210.50
  6. Step 6: Final answer
    x = 29,279.55

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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.