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Finding the Fourth Proportional to 35,678.96, 53,301.44 and 23,096.48

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Solution

The fourth proportional to 35,678.96, 53,301.44 and 23,096.48 is: 34,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.96 : 53,301.44 = 23,096.48 : x
  2. Step 2: Convert to fraction form
    35,678.96/53,301.44 = 23,096.48/x
  3. Step 3: Cross multiply
    35,678.96x = 53,301.44 × 23,096.48
  4. Step 4: Simplify right side
    35,678.96x = 1,231,075,642.93
  5. Step 5: Solve for x
    x = 1,231,075,642.93/35,678.96
  6. Step 6: Final answer
    x = 34,504.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.