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Finding the Fourth Proportional to 59,678.32, 82,354.44 and 32,820.84

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Solution

The fourth proportional to 59,678.32, 82,354.44 and 32,820.84 is: 45,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,678.32 : 82,354.44 = 32,820.84 : x
  2. Step 2: Convert to fraction form
    59,678.32/82,354.44 = 32,820.84/x
  3. Step 3: Cross multiply
    59,678.32x = 82,354.44 × 32,820.84
  4. Step 4: Simplify right side
    59,678.32x = 2,702,941,898.53
  5. Step 5: Solve for x
    x = 2,702,941,898.53/59,678.32
  6. Step 6: Final answer
    x = 45,291.86

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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.