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Finding the Fourth Proportional to 82,409.36, 113,723.60 and 46,598.24

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Solution

The fourth proportional to 82,409.36, 113,723.60 and 46,598.24 is: 64,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.36 : 113,723.60 = 46,598.24 : x
  2. Step 2: Convert to fraction form
    82,409.36/113,723.60 = 46,598.24/x
  3. Step 3: Cross multiply
    82,409.36x = 113,723.60 × 46,598.24
  4. Step 4: Simplify right side
    82,409.36x = 5,299,319,606.46
  5. Step 5: Solve for x
    x = 5,299,319,606.46/82,409.36
  6. Step 6: Final answer
    x = 64,304.83

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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.