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Finding the Fourth Proportional to 82,668.38, 114,075.06 and 45,875.54

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Solution

The fourth proportional to 82,668.38, 114,075.06 and 45,875.54 is: 63,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668.38 : 114,075.06 = 45,875.54 : x
  2. Step 2: Convert to fraction form
    82,668.38/114,075.06 = 45,875.54/x
  3. Step 3: Cross multiply
    82,668.38x = 114,075.06 × 45,875.54
  4. Step 4: Simplify right side
    82,668.38x = 5,233,254,978.03
  5. Step 5: Solve for x
    x = 5,233,254,978.03/82,668.38
  6. Step 6: Final answer
    x = 63,304.19

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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.