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Finding the Fourth Proportional to 82,953.45, 114,485.64 and 52,370.98

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Solution

The fourth proportional to 82,953.45, 114,485.64 and 52,370.98 is: 72,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.45 : 114,485.64 = 52,370.98 : x
  2. Step 2: Convert to fraction form
    82,953.45/114,485.64 = 52,370.98/x
  3. Step 3: Cross multiply
    82,953.45x = 114,485.64 × 52,370.98
  4. Step 4: Simplify right side
    82,953.45x = 5,995,725,162.73
  5. Step 5: Solve for x
    x = 5,995,725,162.73/82,953.45
  6. Step 6: Final answer
    x = 72,278.19

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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.