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Finding the Fourth Proportional to 57,308.71, 85,935.41 and 24,019.83

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Solution

The fourth proportional to 57,308.71, 85,935.41 and 24,019.83 is: 36,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,308.71 : 85,935.41 = 24,019.83 : x
  2. Step 2: Convert to fraction form
    57,308.71/85,935.41 = 24,019.83/x
  3. Step 3: Cross multiply
    57,308.71x = 85,935.41 × 24,019.83
  4. Step 4: Simplify right side
    57,308.71x = 2,064,154,093.97
  5. Step 5: Solve for x
    x = 2,064,154,093.97/57,308.71
  6. Step 6: Final answer
    x = 36,018.16

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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.