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Finding the Fourth Proportional to 38,562.48, 53,207.64 and 23,463

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Solution

The fourth proportional to 38,562.48, 53,207.64 and 23,463 is: 32,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562.48 : 53,207.64 = 23,463 : x
  2. Step 2: Convert to fraction form
    38,562.48/53,207.64 = 23,463/x
  3. Step 3: Cross multiply
    38,562.48x = 53,207.64 × 23,463
  4. Step 4: Simplify right side
    38,562.48x = 1,248,410,857.32
  5. Step 5: Solve for x
    x = 1,248,410,857.32/38,562.48
  6. Step 6: Final answer
    x = 32,373.72

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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.