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Finding the Fourth Proportional to 86,266.04, 119,040.72 and 48,533

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Solution

The fourth proportional to 86,266.04, 119,040.72 and 48,533 is: 66,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,266.04 : 119,040.72 = 48,533 : x
  2. Step 2: Convert to fraction form
    86,266.04/119,040.72 = 48,533/x
  3. Step 3: Cross multiply
    86,266.04x = 119,040.72 × 48,533
  4. Step 4: Simplify right side
    86,266.04x = 5,777,403,263.76
  5. Step 5: Solve for x
    x = 5,777,403,263.76/86,266.04
  6. Step 6: Final answer
    x = 66,971.93

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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.