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Finding the Fourth Proportional to 107,051.80, 147,731.40 and 58,653.76

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Solution

The fourth proportional to 107,051.80, 147,731.40 and 58,653.76 is: 80,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,051.80 : 147,731.40 = 58,653.76 : x
  2. Step 2: Convert to fraction form
    107,051.80/147,731.40 = 58,653.76/x
  3. Step 3: Cross multiply
    107,051.80x = 147,731.40 × 58,653.76
  4. Step 4: Simplify right side
    107,051.80x = 8,665,002,080.06
  5. Step 5: Solve for x
    x = 8,665,002,080.06/107,051.80
  6. Step 6: Final answer
    x = 80,942.14

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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.