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Finding the Fourth Proportional to 55,730, 83,599.86 and 14,177

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Solution

The fourth proportional to 55,730, 83,599.86 and 14,177 is: 21,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,730 : 83,599.86 = 14,177 : x
  2. Step 2: Convert to fraction form
    55,730/83,599.86 = 14,177/x
  3. Step 3: Cross multiply
    55,730x = 83,599.86 × 14,177
  4. Step 4: Simplify right side
    55,730x = 1,185,195,215.22
  5. Step 5: Solve for x
    x = 1,185,195,215.22/55,730
  6. Step 6: Final answer
    x = 21,266.74

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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.