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Finding the Fourth Proportional to 82,923.40, 124,385.10 and 33,000.40

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Solution

The fourth proportional to 82,923.40, 124,385.10 and 33,000.40 is: 49,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,923.40 : 124,385.10 = 33,000.40 : x
  2. Step 2: Convert to fraction form
    82,923.40/124,385.10 = 33,000.40/x
  3. Step 3: Cross multiply
    82,923.40x = 124,385.10 × 33,000.40
  4. Step 4: Simplify right side
    82,923.40x = 4,104,758,054.04
  5. Step 5: Solve for x
    x = 4,104,758,054.04/82,923.40
  6. Step 6: Final answer
    x = 49,500.60

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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.