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Finding the Fourth Proportional to 82,765.94, 114,209.10 and 46,459.07

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Solution

The fourth proportional to 82,765.94, 114,209.10 and 46,459.07 is: 64,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.94 : 114,209.10 = 46,459.07 : x
  2. Step 2: Convert to fraction form
    82,765.94/114,209.10 = 46,459.07/x
  3. Step 3: Cross multiply
    82,765.94x = 114,209.10 × 46,459.07
  4. Step 4: Simplify right side
    82,765.94x = 5,306,048,624.76
  5. Step 5: Solve for x
    x = 5,306,048,624.76/82,765.94
  6. Step 6: Final answer
    x = 64,109.09

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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.