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Finding the Fourth Proportional to 49,549.74, 74,305.98 and 19,957.50

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Solution

The fourth proportional to 49,549.74, 74,305.98 and 19,957.50 is: 29,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,549.74 : 74,305.98 = 19,957.50 : x
  2. Step 2: Convert to fraction form
    49,549.74/74,305.98 = 19,957.50/x
  3. Step 3: Cross multiply
    49,549.74x = 74,305.98 × 19,957.50
  4. Step 4: Simplify right side
    49,549.74x = 1,482,961,595.85
  5. Step 5: Solve for x
    x = 1,482,961,595.85/49,549.74
  6. Step 6: Final answer
    x = 29,928.75

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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.