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Finding the Fourth Proportional to 51,802.80, 71,513.88 and 30,588.72

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Solution

The fourth proportional to 51,802.80, 71,513.88 and 30,588.72 is: 42,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.80 : 71,513.88 = 30,588.72 : x
  2. Step 2: Convert to fraction form
    51,802.80/71,513.88 = 30,588.72/x
  3. Step 3: Cross multiply
    51,802.80x = 71,513.88 × 30,588.72
  4. Step 4: Simplify right side
    51,802.80x = 2,187,518,051.43
  5. Step 5: Solve for x
    x = 2,187,518,051.43/51,802.80
  6. Step 6: Final answer
    x = 42,227.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.