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Finding the Fourth Proportional to 41,886.90, 57,802.14 and 23,023.98

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Solution

The fourth proportional to 41,886.90, 57,802.14 and 23,023.98 is: 31,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,886.90 : 57,802.14 = 23,023.98 : x
  2. Step 2: Convert to fraction form
    41,886.90/57,802.14 = 23,023.98/x
  3. Step 3: Cross multiply
    41,886.90x = 57,802.14 × 23,023.98
  4. Step 4: Simplify right side
    41,886.90x = 1,330,835,315.32
  5. Step 5: Solve for x
    x = 1,330,835,315.32/41,886.90
  6. Step 6: Final answer
    x = 31,772.11

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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.