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Finding the Fourth Proportional to 38,482.43, 53,117.84 and 22,573.31

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Solution

The fourth proportional to 38,482.43, 53,117.84 and 22,573.31 is: 31,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.43 : 53,117.84 = 22,573.31 : x
  2. Step 2: Convert to fraction form
    38,482.43/53,117.84 = 22,573.31/x
  3. Step 3: Cross multiply
    38,482.43x = 53,117.84 × 22,573.31
  4. Step 4: Simplify right side
    38,482.43x = 1,199,045,259.69
  5. Step 5: Solve for x
    x = 1,199,045,259.69/38,482.43
  6. Step 6: Final answer
    x = 31,158.26

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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.