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Finding the Fourth Proportional to 51,632.90, 77,349.15 and 30,233.90

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Solution

The fourth proportional to 51,632.90, 77,349.15 and 30,233.90 is: 45,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,632.90 : 77,349.15 = 30,233.90 : x
  2. Step 2: Convert to fraction form
    51,632.90/77,349.15 = 30,233.90/x
  3. Step 3: Cross multiply
    51,632.90x = 77,349.15 × 30,233.90
  4. Step 4: Simplify right side
    51,632.90x = 2,338,566,466.19
  5. Step 5: Solve for x
    x = 2,338,566,466.19/51,632.90
  6. Step 6: Final answer
    x = 45,292.18

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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.