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Finding the Fourth Proportional to 82,507.78, 113,841.21 and 46,697.79

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Solution

The fourth proportional to 82,507.78, 113,841.21 and 46,697.79 is: 64,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.78 : 113,841.21 = 46,697.79 : x
  2. Step 2: Convert to fraction form
    82,507.78/113,841.21 = 46,697.79/x
  3. Step 3: Cross multiply
    82,507.78x = 113,841.21 × 46,697.79
  4. Step 4: Simplify right side
    82,507.78x = 5,316,132,917.93
  5. Step 5: Solve for x
    x = 5,316,132,917.93/82,507.78
  6. Step 6: Final answer
    x = 64,431.90

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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.