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Finding the Fourth Proportional to 102,504.69, 153,756.12 and 32,384.00

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Solution

The fourth proportional to 102,504.69, 153,756.12 and 32,384.00 is: 48,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504.69 : 153,756.12 = 32,384.00 : x
  2. Step 2: Convert to fraction form
    102,504.69/153,756.12 = 32,384.00/x
  3. Step 3: Cross multiply
    102,504.69x = 153,756.12 × 32,384.00
  4. Step 4: Simplify right side
    102,504.69x = 4,979,238,695.91
  5. Step 5: Solve for x
    x = 4,979,238,695.91/102,504.69
  6. Step 6: Final answer
    x = 48,575.72

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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.