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Finding the Fourth Proportional to 57,662.16, 86,461.84 and 26,035.16

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Solution

The fourth proportional to 57,662.16, 86,461.84 and 26,035.16 is: 39,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.16 : 86,461.84 = 26,035.16 : x
  2. Step 2: Convert to fraction form
    57,662.16/86,461.84 = 26,035.16/x
  3. Step 3: Cross multiply
    57,662.16x = 86,461.84 × 26,035.16
  4. Step 4: Simplify right side
    57,662.16x = 2,251,047,838.29
  5. Step 5: Solve for x
    x = 2,251,047,838.29/57,662.16
  6. Step 6: Final answer
    x = 39,038.56

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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.