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Finding the Fourth Proportional to 82,307.86, 113,584.80 and 48,316.34

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Solution

The fourth proportional to 82,307.86, 113,584.80 and 48,316.34 is: 66,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,307.86 : 113,584.80 = 48,316.34 : x
  2. Step 2: Convert to fraction form
    82,307.86/113,584.80 = 48,316.34/x
  3. Step 3: Cross multiply
    82,307.86x = 113,584.80 × 48,316.34
  4. Step 4: Simplify right side
    82,307.86x = 5,488,001,574.05
  5. Step 5: Solve for x
    x = 5,488,001,574.05/82,307.86
  6. Step 6: Final answer
    x = 66,676.52

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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.