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Finding the Fourth Proportional to 82,176.69, 113,409.17 and 46,353.63

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Solution

The fourth proportional to 82,176.69, 113,409.17 and 46,353.63 is: 63,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,176.69 : 113,409.17 = 46,353.63 : x
  2. Step 2: Convert to fraction form
    82,176.69/113,409.17 = 46,353.63/x
  3. Step 3: Cross multiply
    82,176.69x = 113,409.17 × 46,353.63
  4. Step 4: Simplify right side
    82,176.69x = 5,256,926,704.79
  5. Step 5: Solve for x
    x = 5,256,926,704.79/82,176.69
  6. Step 6: Final answer
    x = 63,971.02

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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.