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Finding the Fourth Proportional to 35,765.35, 53,637.80 and 14,418

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Solution

The fourth proportional to 35,765.35, 53,637.80 and 14,418 is: 21,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.35 : 53,637.80 = 14,418 : x
  2. Step 2: Convert to fraction form
    35,765.35/53,637.80 = 14,418/x
  3. Step 3: Cross multiply
    35,765.35x = 53,637.80 × 14,418
  4. Step 4: Simplify right side
    35,765.35x = 773,349,728.31
  5. Step 5: Solve for x
    x = 773,349,728.31/35,765.35
  6. Step 6: Final answer
    x = 21,622.88

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