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Finding the Fourth Proportional to 102,830.40, 154,261.80 and 32,716.80

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Solution

The fourth proportional to 102,830.40, 154,261.80 and 32,716.80 is: 49,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,830.40 : 154,261.80 = 32,716.80 : x
  2. Step 2: Convert to fraction form
    102,830.40/154,261.80 = 32,716.80/x
  3. Step 3: Cross multiply
    102,830.40x = 154,261.80 × 32,716.80
  4. Step 4: Simplify right side
    102,830.40x = 5,046,952,458.24
  5. Step 5: Solve for x
    x = 5,046,952,458.24/102,830.40
  6. Step 6: Final answer
    x = 49,080.35

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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.