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Finding the Fourth Proportional to 82,801.70, 114,342.26 and 52,596.76

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Solution

The fourth proportional to 82,801.70, 114,342.26 and 52,596.76 is: 72,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,801.70 : 114,342.26 = 52,596.76 : x
  2. Step 2: Convert to fraction form
    82,801.70/114,342.26 = 52,596.76/x
  3. Step 3: Cross multiply
    82,801.70x = 114,342.26 × 52,596.76
  4. Step 4: Simplify right side
    82,801.70x = 6,014,032,407.08
  5. Step 5: Solve for x
    x = 6,014,032,407.08/82,801.70
  6. Step 6: Final answer
    x = 72,631.75

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1.5x scale

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.