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Finding the Fourth Proportional to 57,802.50, 86,703.75 and 14,026.50

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Solution

The fourth proportional to 57,802.50, 86,703.75 and 14,026.50 is: 21,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.50 : 86,703.75 = 14,026.50 : x
  2. Step 2: Convert to fraction form
    57,802.50/86,703.75 = 14,026.50/x
  3. Step 3: Cross multiply
    57,802.50x = 86,703.75 × 14,026.50
  4. Step 4: Simplify right side
    57,802.50x = 1,216,150,149.38
  5. Step 5: Solve for x
    x = 1,216,150,149.38/57,802.50
  6. Step 6: Final answer
    x = 21,039.75

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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.