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Finding the Fourth Proportional to 37,292.60, 55,927.04 and 12,328

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Solution

The fourth proportional to 37,292.60, 55,927.04 and 12,328 is: 18,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,292.60 : 55,927.04 = 12,328 : x
  2. Step 2: Convert to fraction form
    37,292.60/55,927.04 = 12,328/x
  3. Step 3: Cross multiply
    37,292.60x = 55,927.04 × 12,328
  4. Step 4: Simplify right side
    37,292.60x = 689,468,549.12
  5. Step 5: Solve for x
    x = 689,468,549.12/37,292.60
  6. Step 6: Final answer
    x = 18,488.08

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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.