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Finding the Fourth Proportional to 53,603.40, 80,405.10 and 32,867.40

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Solution

The fourth proportional to 53,603.40, 80,405.10 and 32,867.40 is: 49,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,603.40 : 80,405.10 = 32,867.40 : x
  2. Step 2: Convert to fraction form
    53,603.40/80,405.10 = 32,867.40/x
  3. Step 3: Cross multiply
    53,603.40x = 80,405.10 × 32,867.40
  4. Step 4: Simplify right side
    53,603.40x = 2,642,706,583.74
  5. Step 5: Solve for x
    x = 2,642,706,583.74/53,603.40
  6. Step 6: Final answer
    x = 49,301.10

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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.