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Finding the Fourth Proportional to 57,130.84, 85,695.72 and 22,045.96

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Solution

The fourth proportional to 57,130.84, 85,695.72 and 22,045.96 is: 33,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,130.84 : 85,695.72 = 22,045.96 : x
  2. Step 2: Convert to fraction form
    57,130.84/85,695.72 = 22,045.96/x
  3. Step 3: Cross multiply
    57,130.84x = 85,695.72 × 22,045.96
  4. Step 4: Simplify right side
    57,130.84x = 1,889,244,415.29
  5. Step 5: Solve for x
    x = 1,889,244,415.29/57,130.84
  6. Step 6: Final answer
    x = 33,068.73

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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.