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Finding the Fourth Proportional to 48,361.53, 72,533.74 and 12,823.23

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Solution

The fourth proportional to 48,361.53, 72,533.74 and 12,823.23 is: 19,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,361.53 : 72,533.74 = 12,823.23 : x
  2. Step 2: Convert to fraction form
    48,361.53/72,533.74 = 12,823.23/x
  3. Step 3: Cross multiply
    48,361.53x = 72,533.74 × 12,823.23
  4. Step 4: Simplify right side
    48,361.53x = 930,116,830.78
  5. Step 5: Solve for x
    x = 930,116,830.78/48,361.53
  6. Step 6: Final answer
    x = 19,232.58

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1.5x scale

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.