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Finding the Fourth Proportional to 35,802.38, 53,687.90 and 14,728.34

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Solution

The fourth proportional to 35,802.38, 53,687.90 and 14,728.34 is: 22,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.38 : 53,687.90 = 14,728.34 : x
  2. Step 2: Convert to fraction form
    35,802.38/53,687.90 = 14,728.34/x
  3. Step 3: Cross multiply
    35,802.38x = 53,687.90 × 14,728.34
  4. Step 4: Simplify right side
    35,802.38x = 790,733,645.09
  5. Step 5: Solve for x
    x = 790,733,645.09/35,802.38
  6. Step 6: Final answer
    x = 22,086.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.