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Finding the Fourth Proportional to 49,596.64, 74,374.64 and 24,627.68

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Solution

The fourth proportional to 49,596.64, 74,374.64 and 24,627.68 is: 36,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596.64 : 74,374.64 = 24,627.68 : x
  2. Step 2: Convert to fraction form
    49,596.64/74,374.64 = 24,627.68/x
  3. Step 3: Cross multiply
    49,596.64x = 74,374.64 × 24,627.68
  4. Step 4: Simplify right side
    49,596.64x = 1,831,674,834.04
  5. Step 5: Solve for x
    x = 1,831,674,834.04/49,596.64
  6. Step 6: Final answer
    x = 36,931.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.