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Finding the Fourth Proportional to 55,406.51, 83,483.76 and 45,761.84

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Solution

The fourth proportional to 55,406.51, 83,483.76 and 45,761.84 is: 68,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,406.51 : 83,483.76 = 45,761.84 : x
  2. Step 2: Convert to fraction form
    55,406.51/83,483.76 = 45,761.84/x
  3. Step 3: Cross multiply
    55,406.51x = 83,483.76 × 45,761.84
  4. Step 4: Simplify right side
    55,406.51x = 3,820,370,467.72
  5. Step 5: Solve for x
    x = 3,820,370,467.72/55,406.51
  6. Step 6: Final answer
    x = 68,951.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.