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Finding the Fourth Proportional to 47,830.04, 71,782.50 and 33,142.04

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Solution

The fourth proportional to 47,830.04, 71,782.50 and 33,142.04 is: 49,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830.04 : 71,782.50 = 33,142.04 : x
  2. Step 2: Convert to fraction form
    47,830.04/71,782.50 = 33,142.04/x
  3. Step 3: Cross multiply
    47,830.04x = 71,782.50 × 33,142.04
  4. Step 4: Simplify right side
    47,830.04x = 2,379,018,486.30
  5. Step 5: Solve for x
    x = 2,379,018,486.30/47,830.04
  6. Step 6: Final answer
    x = 49,739.00

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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.