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Finding the Fourth Proportional to 37,665.60, 56,498.40 and 9,585.60

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Solution

The fourth proportional to 37,665.60, 56,498.40 and 9,585.60 is: 14,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665.60 : 56,498.40 = 9,585.60 : x
  2. Step 2: Convert to fraction form
    37,665.60/56,498.40 = 9,585.60/x
  3. Step 3: Cross multiply
    37,665.60x = 56,498.40 × 9,585.60
  4. Step 4: Simplify right side
    37,665.60x = 541,571,063.04
  5. Step 5: Solve for x
    x = 541,571,063.04/37,665.60
  6. Step 6: Final answer
    x = 14,378.40

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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.