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Finding the Fourth Proportional to 32,913.60, 49,370.40 and 13,206.30

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Solution

The fourth proportional to 32,913.60, 49,370.40 and 13,206.30 is: 19,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,913.60 : 49,370.40 = 13,206.30 : x
  2. Step 2: Convert to fraction form
    32,913.60/49,370.40 = 13,206.30/x
  3. Step 3: Cross multiply
    32,913.60x = 49,370.40 × 13,206.30
  4. Step 4: Simplify right side
    32,913.60x = 652,000,313.52
  5. Step 5: Solve for x
    x = 652,000,313.52/32,913.60
  6. Step 6: Final answer
    x = 19,809.45

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