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Finding the Fourth Proportional to 35,851.34, 53,777.72 and 13,054.40

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Solution

The fourth proportional to 35,851.34, 53,777.72 and 13,054.40 is: 19,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,851.34 : 53,777.72 = 13,054.40 : x
  2. Step 2: Convert to fraction form
    35,851.34/53,777.72 = 13,054.40/x
  3. Step 3: Cross multiply
    35,851.34x = 53,777.72 × 13,054.40
  4. Step 4: Simplify right side
    35,851.34x = 702,035,833.38
  5. Step 5: Solve for x
    x = 702,035,833.38/35,851.34
  6. Step 6: Final answer
    x = 19,581.86

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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.