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Finding the Fourth Proportional to 57,189.84, 85,784.10 and 23,448.32

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Solution

The fourth proportional to 57,189.84, 85,784.10 and 23,448.32 is: 35,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.84 : 85,784.10 = 23,448.32 : x
  2. Step 2: Convert to fraction form
    57,189.84/85,784.10 = 23,448.32/x
  3. Step 3: Cross multiply
    57,189.84x = 85,784.10 × 23,448.32
  4. Step 4: Simplify right side
    57,189.84x = 2,011,493,027.71
  5. Step 5: Solve for x
    x = 2,011,493,027.71/57,189.84
  6. Step 6: Final answer
    x = 35,172.21

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1.5x scale

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.