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Finding the Fourth Proportional to 57,502.82, 86,246.94 and 42,733.28

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Solution

The fourth proportional to 57,502.82, 86,246.94 and 42,733.28 is: 64,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502.82 : 86,246.94 = 42,733.28 : x
  2. Step 2: Convert to fraction form
    57,502.82/86,246.94 = 42,733.28/x
  3. Step 3: Cross multiply
    57,502.82x = 86,246.94 × 42,733.28
  4. Step 4: Simplify right side
    57,502.82x = 3,685,614,636.16
  5. Step 5: Solve for x
    x = 3,685,614,636.16/57,502.82
  6. Step 6: Final answer
    x = 64,094.50

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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.