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Finding the Fourth Proportional to 82,374, 113,676.36 and 44,648.40

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Solution

The fourth proportional to 82,374, 113,676.36 and 44,648.40 is: 61,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374 : 113,676.36 = 44,648.40 : x
  2. Step 2: Convert to fraction form
    82,374/113,676.36 = 44,648.40/x
  3. Step 3: Cross multiply
    82,374x = 113,676.36 × 44,648.40
  4. Step 4: Simplify right side
    82,374x = 5,075,467,591.82
  5. Step 5: Solve for x
    x = 5,075,467,591.82/82,374
  6. Step 6: Final answer
    x = 61,614.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.