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Finding the Fourth Proportional to 55,232, 82,640.64 and 34,357.76

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Solution

The fourth proportional to 55,232, 82,640.64 and 34,357.76 is: 51,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,232 : 82,640.64 = 34,357.76 : x
  2. Step 2: Convert to fraction form
    55,232/82,640.64 = 34,357.76/x
  3. Step 3: Cross multiply
    55,232x = 82,640.64 × 34,357.76
  4. Step 4: Simplify right side
    55,232x = 2,839,347,275.37
  5. Step 5: Solve for x
    x = 2,839,347,275.37/55,232
  6. Step 6: Final answer
    x = 51,407.65

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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.