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Finding the Fourth Proportional to 82,681.83, 114,096.87 and 44,956.08

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Solution

The fourth proportional to 82,681.83, 114,096.87 and 44,956.08 is: 62,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,681.83 : 114,096.87 = 44,956.08 : x
  2. Step 2: Convert to fraction form
    82,681.83/114,096.87 = 44,956.08/x
  3. Step 3: Cross multiply
    82,681.83x = 114,096.87 × 44,956.08
  4. Step 4: Simplify right side
    82,681.83x = 5,129,348,015.47
  5. Step 5: Solve for x
    x = 5,129,348,015.47/82,681.83
  6. Step 6: Final answer
    x = 62,037.19

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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.