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Finding the Fourth Proportional to 58,113, 87,182.46 and 21,177

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Solution

The fourth proportional to 58,113, 87,182.46 and 21,177 is: 31,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,113 : 87,182.46 = 21,177 : x
  2. Step 2: Convert to fraction form
    58,113/87,182.46 = 21,177/x
  3. Step 3: Cross multiply
    58,113x = 87,182.46 × 21,177
  4. Step 4: Simplify right side
    58,113x = 1,846,262,955.42
  5. Step 5: Solve for x
    x = 1,846,262,955.42/58,113
  6. Step 6: Final answer
    x = 31,770.22

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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.