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Finding the Fourth Proportional to 54,804.28, 75,630 and 29,653.78

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Solution

The fourth proportional to 54,804.28, 75,630 and 29,653.78 is: 40,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.28 : 75,630 = 29,653.78 : x
  2. Step 2: Convert to fraction form
    54,804.28/75,630 = 29,653.78/x
  3. Step 3: Cross multiply
    54,804.28x = 75,630 × 29,653.78
  4. Step 4: Simplify right side
    54,804.28x = 2,242,715,381.40
  5. Step 5: Solve for x
    x = 2,242,715,381.40/54,804.28
  6. Step 6: Final answer
    x = 40,922.27

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1.5x scale

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.