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Finding the Fourth Proportional to 51,945.30, 77,862.06 and 22,377.06

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Solution

The fourth proportional to 51,945.30, 77,862.06 and 22,377.06 is: 33,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,945.30 : 77,862.06 = 22,377.06 : x
  2. Step 2: Convert to fraction form
    51,945.30/77,862.06 = 22,377.06/x
  3. Step 3: Cross multiply
    51,945.30x = 77,862.06 × 22,377.06
  4. Step 4: Simplify right side
    51,945.30x = 1,742,323,988.34
  5. Step 5: Solve for x
    x = 1,742,323,988.34/51,945.30
  6. Step 6: Final answer
    x = 33,541.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.