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Finding the Fourth Proportional to 82,595.12, 113,978.04 and 46,787.12

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Solution

The fourth proportional to 82,595.12, 113,978.04 and 46,787.12 is: 64,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,595.12 : 113,978.04 = 46,787.12 : x
  2. Step 2: Convert to fraction form
    82,595.12/113,978.04 = 46,787.12/x
  3. Step 3: Cross multiply
    82,595.12x = 113,978.04 × 46,787.12
  4. Step 4: Simplify right side
    82,595.12x = 5,332,704,234.84
  5. Step 5: Solve for x
    x = 5,332,704,234.84/82,595.12
  6. Step 6: Final answer
    x = 64,564.40

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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.