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Finding the Fourth Proportional to 82,408.47, 123,612.70 and 38,011.00

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Solution

The fourth proportional to 82,408.47, 123,612.70 and 38,011.00 is: 57,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408.47 : 123,612.70 = 38,011.00 : x
  2. Step 2: Convert to fraction form
    82,408.47/123,612.70 = 38,011.00/x
  3. Step 3: Cross multiply
    82,408.47x = 123,612.70 × 38,011.00
  4. Step 4: Simplify right side
    82,408.47x = 4,698,642,302.19
  5. Step 5: Solve for x
    x = 4,698,642,302.19/82,408.47
  6. Step 6: Final answer
    x = 57,016.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.