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Finding the Fourth Proportional to 32,193.40, 48,303.97 and 17,412.72

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Solution

The fourth proportional to 32,193.40, 48,303.97 and 17,412.72 is: 26,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.40 : 48,303.97 = 17,412.72 : x
  2. Step 2: Convert to fraction form
    32,193.40/48,303.97 = 17,412.72/x
  3. Step 3: Cross multiply
    32,193.40x = 48,303.97 × 17,412.72
  4. Step 4: Simplify right side
    32,193.40x = 841,103,504.50
  5. Step 5: Solve for x
    x = 841,103,504.50/32,193.40
  6. Step 6: Final answer
    x = 26,126.58

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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.