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Finding the Fourth Proportional to 38,262.16, 52,801.50 and 21,495.16

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Solution

The fourth proportional to 38,262.16, 52,801.50 and 21,495.16 is: 29,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262.16 : 52,801.50 = 21,495.16 : x
  2. Step 2: Convert to fraction form
    38,262.16/52,801.50 = 21,495.16/x
  3. Step 3: Cross multiply
    38,262.16x = 52,801.50 × 21,495.16
  4. Step 4: Simplify right side
    38,262.16x = 1,134,976,690.74
  5. Step 5: Solve for x
    x = 1,134,976,690.74/38,262.16
  6. Step 6: Final answer
    x = 29,663.16

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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.