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Finding the Fourth Proportional to 130,044.25, 195,066.38 and 36,550

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Solution

The fourth proportional to 130,044.25, 195,066.38 and 36,550 is: 54,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,044.25 : 195,066.38 = 36,550 : x
  2. Step 2: Convert to fraction form
    130,044.25/195,066.38 = 36,550/x
  3. Step 3: Cross multiply
    130,044.25x = 195,066.38 × 36,550
  4. Step 4: Simplify right side
    130,044.25x = 7,129,676,189
  5. Step 5: Solve for x
    x = 7,129,676,189/130,044.25
  6. Step 6: Final answer
    x = 54,825.00

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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.