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Finding the Fourth Proportional to 82,594.66, 113,970.96 and 48,595.66

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Solution

The fourth proportional to 82,594.66, 113,970.96 and 48,595.66 is: 67,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.66 : 113,970.96 = 48,595.66 : x
  2. Step 2: Convert to fraction form
    82,594.66/113,970.96 = 48,595.66/x
  3. Step 3: Cross multiply
    82,594.66x = 113,970.96 × 48,595.66
  4. Step 4: Simplify right side
    82,594.66x = 5,538,494,022.03
  5. Step 5: Solve for x
    x = 5,538,494,022.03/82,594.66
  6. Step 6: Final answer
    x = 67,056.32

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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.