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Finding the Fourth Proportional to 35,965.89, 53,973.14 and 12,592.53

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Solution

The fourth proportional to 35,965.89, 53,973.14 and 12,592.53 is: 18,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.89 : 53,973.14 = 12,592.53 : x
  2. Step 2: Convert to fraction form
    35,965.89/53,973.14 = 12,592.53/x
  3. Step 3: Cross multiply
    35,965.89x = 53,973.14 × 12,592.53
  4. Step 4: Simplify right side
    35,965.89x = 679,658,321.68
  5. Step 5: Solve for x
    x = 679,658,321.68/35,965.89
  6. Step 6: Final answer
    x = 18,897.30

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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.