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Finding the Fourth Proportional to 51,802.40, 77,700.08 and 20,206.62

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Solution

The fourth proportional to 51,802.40, 77,700.08 and 20,206.62 is: 30,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.40 : 77,700.08 = 20,206.62 : x
  2. Step 2: Convert to fraction form
    51,802.40/77,700.08 = 20,206.62/x
  3. Step 3: Cross multiply
    51,802.40x = 77,700.08 × 20,206.62
  4. Step 4: Simplify right side
    51,802.40x = 1,570,055,889.50
  5. Step 5: Solve for x
    x = 1,570,055,889.50/51,802.40
  6. Step 6: Final answer
    x = 30,308.56

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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.