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Finding the Fourth Proportional to 99,598.44, 149,325.84 and 46,956

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Solution

The fourth proportional to 99,598.44, 149,325.84 and 46,956 is: 70,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,598.44 : 149,325.84 = 46,956 : x
  2. Step 2: Convert to fraction form
    99,598.44/149,325.84 = 46,956/x
  3. Step 3: Cross multiply
    99,598.44x = 149,325.84 × 46,956
  4. Step 4: Simplify right side
    99,598.44x = 7,011,744,143.04
  5. Step 5: Solve for x
    x = 7,011,744,143.04/99,598.44
  6. Step 6: Final answer
    x = 70,400.14

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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.