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Finding the Fourth Proportional to 76,517.49, 114,758.01 and 32,145.11

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Solution

The fourth proportional to 76,517.49, 114,758.01 and 32,145.11 is: 48,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,517.49 : 114,758.01 = 32,145.11 : x
  2. Step 2: Convert to fraction form
    76,517.49/114,758.01 = 32,145.11/x
  3. Step 3: Cross multiply
    76,517.49x = 114,758.01 × 32,145.11
  4. Step 4: Simplify right side
    76,517.49x = 3,688,908,281.04
  5. Step 5: Solve for x
    x = 3,688,908,281.04/76,517.49
  6. Step 6: Final answer
    x = 48,210.00

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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.