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Finding the Fourth Proportional to 37,547.64, 56,319.30 and 12,586.68

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Solution

The fourth proportional to 37,547.64, 56,319.30 and 12,586.68 is: 18,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,547.64 : 56,319.30 = 12,586.68 : x
  2. Step 2: Convert to fraction form
    37,547.64/56,319.30 = 12,586.68/x
  3. Step 3: Cross multiply
    37,547.64x = 56,319.30 × 12,586.68
  4. Step 4: Simplify right side
    37,547.64x = 708,873,006.92
  5. Step 5: Solve for x
    x = 708,873,006.92/37,547.64
  6. Step 6: Final answer
    x = 18,879.30

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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.