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Finding the Fourth Proportional to 37,680, 56,530.08 and 13,056

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Solution

The fourth proportional to 37,680, 56,530.08 and 13,056 is: 19,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680 : 56,530.08 = 13,056 : x
  2. Step 2: Convert to fraction form
    37,680/56,530.08 = 13,056/x
  3. Step 3: Cross multiply
    37,680x = 56,530.08 × 13,056
  4. Step 4: Simplify right side
    37,680x = 738,056,724.48
  5. Step 5: Solve for x
    x = 738,056,724.48/37,680
  6. Step 6: Final answer
    x = 19,587.49

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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.