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Finding the Fourth Proportional to 37,580.66, 56,366.51 and 9,880.82

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Solution

The fourth proportional to 37,580.66, 56,366.51 and 9,880.82 is: 14,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.66 : 56,366.51 = 9,880.82 : x
  2. Step 2: Convert to fraction form
    37,580.66/56,366.51 = 9,880.82/x
  3. Step 3: Cross multiply
    37,580.66x = 56,366.51 × 9,880.82
  4. Step 4: Simplify right side
    37,580.66x = 556,947,339.34
  5. Step 5: Solve for x
    x = 556,947,339.34/37,580.66
  6. Step 6: Final answer
    x = 14,820.05

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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.