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Finding the Fourth Proportional to 51,752.96, 77,629.44 and 34,334.08

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Solution

The fourth proportional to 51,752.96, 77,629.44 and 34,334.08 is: 51,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.96 : 77,629.44 = 34,334.08 : x
  2. Step 2: Convert to fraction form
    51,752.96/77,629.44 = 34,334.08/x
  3. Step 3: Cross multiply
    51,752.96x = 77,629.44 × 34,334.08
  4. Step 4: Simplify right side
    51,752.96x = 2,665,335,403.32
  5. Step 5: Solve for x
    x = 2,665,335,403.32/51,752.96
  6. Step 6: Final answer
    x = 51,501.12

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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.