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Finding the Fourth Proportional to 82,907, 114,412.47 and 45,182.06

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Solution

The fourth proportional to 82,907, 114,412.47 and 45,182.06 is: 62,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907 : 114,412.47 = 45,182.06 : x
  2. Step 2: Convert to fraction form
    82,907/114,412.47 = 45,182.06/x
  3. Step 3: Cross multiply
    82,907x = 114,412.47 × 45,182.06
  4. Step 4: Simplify right side
    82,907x = 5,169,391,084.29
  5. Step 5: Solve for x
    x = 5,169,391,084.29/82,907
  6. Step 6: Final answer
    x = 62,351.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.