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Finding the Fourth Proportional to 57,151.84, 85,750.24 and 17,712

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Solution

The fourth proportional to 57,151.84, 85,750.24 and 17,712 is: 26,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,151.84 : 85,750.24 = 17,712 : x
  2. Step 2: Convert to fraction form
    57,151.84/85,750.24 = 17,712/x
  3. Step 3: Cross multiply
    57,151.84x = 85,750.24 × 17,712
  4. Step 4: Simplify right side
    57,151.84x = 1,518,808,250.88
  5. Step 5: Solve for x
    x = 1,518,808,250.88/57,151.84
  6. Step 6: Final answer
    x = 26,574.97

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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.