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Finding the Fourth Proportional to 82,835.40, 114,306.11 and 46,534.87

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Solution

The fourth proportional to 82,835.40, 114,306.11 and 46,534.87 is: 64,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,835.40 : 114,306.11 = 46,534.87 : x
  2. Step 2: Convert to fraction form
    82,835.40/114,306.11 = 46,534.87/x
  3. Step 3: Cross multiply
    82,835.40x = 114,306.11 × 46,534.87
  4. Step 4: Simplify right side
    82,835.40x = 5,319,219,736.38
  5. Step 5: Solve for x
    x = 5,319,219,736.38/82,835.40
  6. Step 6: Final answer
    x = 64,214.33

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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.