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Finding the Fourth Proportional to 55,373.28, 83,075.28 and 31,956.96

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Solution

The fourth proportional to 55,373.28, 83,075.28 and 31,956.96 is: 47,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,373.28 : 83,075.28 = 31,956.96 : x
  2. Step 2: Convert to fraction form
    55,373.28/83,075.28 = 31,956.96/x
  3. Step 3: Cross multiply
    55,373.28x = 83,075.28 × 31,956.96
  4. Step 4: Simplify right side
    55,373.28x = 2,654,833,399.95
  5. Step 5: Solve for x
    x = 2,654,833,399.95/55,373.28
  6. Step 6: Final answer
    x = 47,944.30

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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.