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Finding the Fourth Proportional to 82,907.96, 114,140.75 and 69,457.91

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Solution

The fourth proportional to 82,907.96, 114,140.75 and 69,457.91 is: 95,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907.96 : 114,140.75 = 69,457.91 : x
  2. Step 2: Convert to fraction form
    82,907.96/114,140.75 = 69,457.91/x
  3. Step 3: Cross multiply
    82,907.96x = 114,140.75 × 69,457.91
  4. Step 4: Simplify right side
    82,907.96x = 7,927,977,022.84
  5. Step 5: Solve for x
    x = 7,927,977,022.84/82,907.96
  6. Step 6: Final answer
    x = 95,623.84

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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.