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Finding the Fourth Proportional to 102,515.40, 153,744.30 and 32,416.20

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Solution

The fourth proportional to 102,515.40, 153,744.30 and 32,416.20 is: 48,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515.40 : 153,744.30 = 32,416.20 : x
  2. Step 2: Convert to fraction form
    102,515.40/153,744.30 = 32,416.20/x
  3. Step 3: Cross multiply
    102,515.40x = 153,744.30 × 32,416.20
  4. Step 4: Simplify right side
    102,515.40x = 4,983,805,977.66
  5. Step 5: Solve for x
    x = 4,983,805,977.66/102,515.40
  6. Step 6: Final answer
    x = 48,615.19

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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.