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Finding the Fourth Proportional to 57,865.66, 86,656.94 and 52,256.00

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Solution

The fourth proportional to 57,865.66, 86,656.94 and 52,256.00 is: 78,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865.66 : 86,656.94 = 52,256.00 : x
  2. Step 2: Convert to fraction form
    57,865.66/86,656.94 = 52,256.00/x
  3. Step 3: Cross multiply
    57,865.66x = 86,656.94 × 52,256.00
  4. Step 4: Simplify right side
    57,865.66x = 4,528,345,207.96
  5. Step 5: Solve for x
    x = 4,528,345,207.96/57,865.66
  6. Step 6: Final answer
    x = 78,256.18

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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.