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Finding the Fourth Proportional to 55,026.90, 82,509.36 and 17,578.20

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Solution

The fourth proportional to 55,026.90, 82,509.36 and 17,578.20 is: 26,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,026.90 : 82,509.36 = 17,578.20 : x
  2. Step 2: Convert to fraction form
    55,026.90/82,509.36 = 17,578.20/x
  3. Step 3: Cross multiply
    55,026.90x = 82,509.36 × 17,578.20
  4. Step 4: Simplify right side
    55,026.90x = 1,450,366,031.95
  5. Step 5: Solve for x
    x = 1,450,366,031.95/55,026.90
  6. Step 6: Final answer
    x = 26,357.40

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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.