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Finding the Fourth Proportional to 37,714.29, 52,045.74 and 20,947.29

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Solution

The fourth proportional to 37,714.29, 52,045.74 and 20,947.29 is: 28,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714.29 : 52,045.74 = 20,947.29 : x
  2. Step 2: Convert to fraction form
    37,714.29/52,045.74 = 20,947.29/x
  3. Step 3: Cross multiply
    37,714.29x = 52,045.74 × 20,947.29
  4. Step 4: Simplify right side
    37,714.29x = 1,090,217,209.04
  5. Step 5: Solve for x
    x = 1,090,217,209.04/37,714.29
  6. Step 6: Final answer
    x = 28,907.27

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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.