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Finding the Fourth Proportional to 55,772.34, 76,966.11 and 31,900.02

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Solution

The fourth proportional to 55,772.34, 76,966.11 and 31,900.02 is: 44,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,772.34 : 76,966.11 = 31,900.02 : x
  2. Step 2: Convert to fraction form
    55,772.34/76,966.11 = 31,900.02/x
  3. Step 3: Cross multiply
    55,772.34x = 76,966.11 × 31,900.02
  4. Step 4: Simplify right side
    55,772.34x = 2,455,220,448.32
  5. Step 5: Solve for x
    x = 2,455,220,448.32/55,772.34
  6. Step 6: Final answer
    x = 44,022.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.