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Finding the Fourth Proportional to 53,145.24, 79,663.19 and 23,577

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Solution

The fourth proportional to 53,145.24, 79,663.19 and 23,577 is: 35,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,145.24 : 79,663.19 = 23,577 : x
  2. Step 2: Convert to fraction form
    53,145.24/79,663.19 = 23,577/x
  3. Step 3: Cross multiply
    53,145.24x = 79,663.19 × 23,577
  4. Step 4: Simplify right side
    53,145.24x = 1,878,218,912.75
  5. Step 5: Solve for x
    x = 1,878,218,912.75/53,145.24
  6. Step 6: Final answer
    x = 35,341.24

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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.