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Finding the Fourth Proportional to 56,507.25, 84,762.51 and 14,954.25

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Solution

The fourth proportional to 56,507.25, 84,762.51 and 14,954.25 is: 22,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,507.25 : 84,762.51 = 14,954.25 : x
  2. Step 2: Convert to fraction form
    56,507.25/84,762.51 = 14,954.25/x
  3. Step 3: Cross multiply
    56,507.25x = 84,762.51 × 14,954.25
  4. Step 4: Simplify right side
    56,507.25x = 1,267,559,765.17
  5. Step 5: Solve for x
    x = 1,267,559,765.17/56,507.25
  6. Step 6: Final answer
    x = 22,431.81

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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.