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Finding the Fourth Proportional to 130,077.48, 195,093.54 and 36,561

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Solution

The fourth proportional to 130,077.48, 195,093.54 and 36,561 is: 54,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,077.48 : 195,093.54 = 36,561 : x
  2. Step 2: Convert to fraction form
    130,077.48/195,093.54 = 36,561/x
  3. Step 3: Cross multiply
    130,077.48x = 195,093.54 × 36,561
  4. Step 4: Simplify right side
    130,077.48x = 7,132,814,915.94
  5. Step 5: Solve for x
    x = 7,132,814,915.94/130,077.48
  6. Step 6: Final answer
    x = 54,835.13

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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.