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Finding the Fourth Proportional to 35,412.96, 53,152.24 and 17,895.08

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Solution

The fourth proportional to 35,412.96, 53,152.24 and 17,895.08 is: 26,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412.96 : 53,152.24 = 17,895.08 : x
  2. Step 2: Convert to fraction form
    35,412.96/53,152.24 = 17,895.08/x
  3. Step 3: Cross multiply
    35,412.96x = 53,152.24 × 17,895.08
  4. Step 4: Simplify right side
    35,412.96x = 951,163,586.98
  5. Step 5: Solve for x
    x = 951,163,586.98/35,412.96
  6. Step 6: Final answer
    x = 26,859.19

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Why These Related Problems?

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