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Finding the Fourth Proportional to 35,460.32, 53,087.44 and 20,624

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Solution

The fourth proportional to 35,460.32, 53,087.44 and 20,624 is: 30,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,460.32 : 53,087.44 = 20,624 : x
  2. Step 2: Convert to fraction form
    35,460.32/53,087.44 = 20,624/x
  3. Step 3: Cross multiply
    35,460.32x = 53,087.44 × 20,624
  4. Step 4: Simplify right side
    35,460.32x = 1,094,875,362.56
  5. Step 5: Solve for x
    x = 1,094,875,362.56/35,460.32
  6. Step 6: Final answer
    x = 30,876.07

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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.