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Finding the Fourth Proportional to 35,714.52, 49,285.65 and 20,607

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Solution

The fourth proportional to 35,714.52, 49,285.65 and 20,607 is: 28,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.52 : 49,285.65 = 20,607 : x
  2. Step 2: Convert to fraction form
    35,714.52/49,285.65 = 20,607/x
  3. Step 3: Cross multiply
    35,714.52x = 49,285.65 × 20,607
  4. Step 4: Simplify right side
    35,714.52x = 1,015,629,389.55
  5. Step 5: Solve for x
    x = 1,015,629,389.55/35,714.52
  6. Step 6: Final answer
    x = 28,437.44

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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.