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Finding the Fourth Proportional to 55,683.56, 83,530.20 and 14,130.56

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Solution

The fourth proportional to 55,683.56, 83,530.20 and 14,130.56 is: 21,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,683.56 : 83,530.20 = 14,130.56 : x
  2. Step 2: Convert to fraction form
    55,683.56/83,530.20 = 14,130.56/x
  3. Step 3: Cross multiply
    55,683.56x = 83,530.20 × 14,130.56
  4. Step 4: Simplify right side
    55,683.56x = 1,180,328,502.91
  5. Step 5: Solve for x
    x = 1,180,328,502.91/55,683.56
  6. Step 6: Final answer
    x = 21,197.07

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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.