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Finding the Fourth Proportional to 49,931.56, 74,878.98 and 20,333.32

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Solution

The fourth proportional to 49,931.56, 74,878.98 and 20,333.32 is: 30,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,931.56 : 74,878.98 = 20,333.32 : x
  2. Step 2: Convert to fraction form
    49,931.56/74,878.98 = 20,333.32/x
  3. Step 3: Cross multiply
    49,931.56x = 74,878.98 × 20,333.32
  4. Step 4: Simplify right side
    49,931.56x = 1,522,538,261.61
  5. Step 5: Solve for x
    x = 1,522,538,261.61/49,931.56
  6. Step 6: Final answer
    x = 30,492.50

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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.