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Finding the Fourth Proportional to 37,580.64, 51,870.60 and 21,674.64

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Solution

The fourth proportional to 37,580.64, 51,870.60 and 21,674.64 is: 29,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.64 : 51,870.60 = 21,674.64 : x
  2. Step 2: Convert to fraction form
    37,580.64/51,870.60 = 21,674.64/x
  3. Step 3: Cross multiply
    37,580.64x = 51,870.60 × 21,674.64
  4. Step 4: Simplify right side
    37,580.64x = 1,124,276,581.58
  5. Step 5: Solve for x
    x = 1,124,276,581.58/37,580.64
  6. Step 6: Final answer
    x = 29,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.