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Finding the Fourth Proportional to 42,854.80, 59,119.99 and 27,752.32

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Solution

The fourth proportional to 42,854.80, 59,119.99 and 27,752.32 is: 38,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854.80 : 59,119.99 = 27,752.32 : x
  2. Step 2: Convert to fraction form
    42,854.80/59,119.99 = 27,752.32/x
  3. Step 3: Cross multiply
    42,854.80x = 59,119.99 × 27,752.32
  4. Step 4: Simplify right side
    42,854.80x = 1,640,716,880.88
  5. Step 5: Solve for x
    x = 1,640,716,880.88/42,854.80
  6. Step 6: Final answer
    x = 38,285.49

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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.