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Finding the Fourth Proportional to 81,406.84, 112,338.38 and 45,595.08

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Solution

The fourth proportional to 81,406.84, 112,338.38 and 45,595.08 is: 62,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.84 : 112,338.38 = 45,595.08 : x
  2. Step 2: Convert to fraction form
    81,406.84/112,338.38 = 45,595.08/x
  3. Step 3: Cross multiply
    81,406.84x = 112,338.38 × 45,595.08
  4. Step 4: Simplify right side
    81,406.84x = 5,122,077,423.17
  5. Step 5: Solve for x
    x = 5,122,077,423.17/81,406.84
  6. Step 6: Final answer
    x = 62,919.50

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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.