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Finding the Fourth Proportional to 55,681.83, 83,502.03 and 24,096.48

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Solution

The fourth proportional to 55,681.83, 83,502.03 and 24,096.48 is: 36,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,681.83 : 83,502.03 = 24,096.48 : x
  2. Step 2: Convert to fraction form
    55,681.83/83,502.03 = 24,096.48/x
  3. Step 3: Cross multiply
    55,681.83x = 83,502.03 × 24,096.48
  4. Step 4: Simplify right side
    55,681.83x = 2,012,104,995.85
  5. Step 5: Solve for x
    x = 2,012,104,995.85/55,681.83
  6. Step 6: Final answer
    x = 36,135.76

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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.