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Finding the Fourth Proportional to 55,406.76, 83,484.15 and 45,762.09

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Solution

The fourth proportional to 55,406.76, 83,484.15 and 45,762.09 is: 68,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,406.76 : 83,484.15 = 45,762.09 : x
  2. Step 2: Convert to fraction form
    55,406.76/83,484.15 = 45,762.09/x
  3. Step 3: Cross multiply
    55,406.76x = 83,484.15 × 45,762.09
  4. Step 4: Simplify right side
    55,406.76x = 3,820,409,185.87
  5. Step 5: Solve for x
    x = 3,820,409,185.87/55,406.76
  6. Step 6: Final answer
    x = 68,952.04

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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.