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Finding the Fourth Proportional to 57,143.96, 85,721.57 and 19,699.10

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Solution

The fourth proportional to 57,143.96, 85,721.57 and 19,699.10 is: 29,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.96 : 85,721.57 = 19,699.10 : x
  2. Step 2: Convert to fraction form
    57,143.96/85,721.57 = 19,699.10/x
  3. Step 3: Cross multiply
    57,143.96x = 85,721.57 × 19,699.10
  4. Step 4: Simplify right side
    57,143.96x = 1,688,637,252.48
  5. Step 5: Solve for x
    x = 1,688,637,252.48/57,143.96
  6. Step 6: Final answer
    x = 29,550.58

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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.