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Finding the Fourth Proportional to 41,802.14, 57,686.70 and 22,681.50

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Solution

The fourth proportional to 41,802.14, 57,686.70 and 22,681.50 is: 31,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,802.14 : 57,686.70 = 22,681.50 : x
  2. Step 2: Convert to fraction form
    41,802.14/57,686.70 = 22,681.50/x
  3. Step 3: Cross multiply
    41,802.14x = 57,686.70 × 22,681.50
  4. Step 4: Simplify right side
    41,802.14x = 1,308,420,886.05
  5. Step 5: Solve for x
    x = 1,308,420,886.05/41,802.14
  6. Step 6: Final answer
    x = 31,300.33

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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.