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Finding the Fourth Proportional to 30,098.47, 41,536.20 and 18,159.50

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Solution

The fourth proportional to 30,098.47, 41,536.20 and 18,159.50 is: 25,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.47 : 41,536.20 = 18,159.50 : x
  2. Step 2: Convert to fraction form
    30,098.47/41,536.20 = 18,159.50/x
  3. Step 3: Cross multiply
    30,098.47x = 41,536.20 × 18,159.50
  4. Step 4: Simplify right side
    30,098.47x = 754,276,764.87
  5. Step 5: Solve for x
    x = 754,276,764.87/30,098.47
  6. Step 6: Final answer
    x = 25,060.30

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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.