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Finding the Fourth Proportional to 57,033, 85,584.06 and 24,201

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Solution

The fourth proportional to 57,033, 85,584.06 and 24,201 is: 36,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033 : 85,584.06 = 24,201 : x
  2. Step 2: Convert to fraction form
    57,033/85,584.06 = 24,201/x
  3. Step 3: Cross multiply
    57,033x = 85,584.06 × 24,201
  4. Step 4: Simplify right side
    57,033x = 2,071,219,836.06
  5. Step 5: Solve for x
    x = 2,071,219,836.06/57,033
  6. Step 6: Final answer
    x = 36,316.16

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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.