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Finding the Fourth Proportional to 39,882.60, 59,823.90 and 32,106.60

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Solution

The fourth proportional to 39,882.60, 59,823.90 and 32,106.60 is: 48,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882.60 : 59,823.90 = 32,106.60 : x
  2. Step 2: Convert to fraction form
    39,882.60/59,823.90 = 32,106.60/x
  3. Step 3: Cross multiply
    39,882.60x = 59,823.90 × 32,106.60
  4. Step 4: Simplify right side
    39,882.60x = 1,920,742,027.74
  5. Step 5: Solve for x
    x = 1,920,742,027.74/39,882.60
  6. Step 6: Final answer
    x = 48,159.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.