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Finding the Fourth Proportional to 102,130.10, 153,195.21 and 32,014.88

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Solution

The fourth proportional to 102,130.10, 153,195.21 and 32,014.88 is: 48,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.10 : 153,195.21 = 32,014.88 : x
  2. Step 2: Convert to fraction form
    102,130.10/153,195.21 = 32,014.88/x
  3. Step 3: Cross multiply
    102,130.10x = 153,195.21 × 32,014.88
  4. Step 4: Simplify right side
    102,130.10x = 4,904,525,498.75
  5. Step 5: Solve for x
    x = 4,904,525,498.75/102,130.10
  6. Step 6: Final answer
    x = 48,022.33

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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.