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Finding the Fourth Proportional to 94,814.12, 142,242.24 and 32,483

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Solution

The fourth proportional to 94,814.12, 142,242.24 and 32,483 is: 48,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,814.12 : 142,242.24 = 32,483 : x
  2. Step 2: Convert to fraction form
    94,814.12/142,242.24 = 32,483/x
  3. Step 3: Cross multiply
    94,814.12x = 142,242.24 × 32,483
  4. Step 4: Simplify right side
    94,814.12x = 4,620,454,681.92
  5. Step 5: Solve for x
    x = 4,620,454,681.92/94,814.12
  6. Step 6: Final answer
    x = 48,731.72

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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.