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Finding the Fourth Proportional to 75,406.40, 113,109.60 and 20,002.40

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Solution

The fourth proportional to 75,406.40, 113,109.60 and 20,002.40 is: 30,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,406.40 : 113,109.60 = 20,002.40 : x
  2. Step 2: Convert to fraction form
    75,406.40/113,109.60 = 20,002.40/x
  3. Step 3: Cross multiply
    75,406.40x = 113,109.60 × 20,002.40
  4. Step 4: Simplify right side
    75,406.40x = 2,262,463,463.04
  5. Step 5: Solve for x
    x = 2,262,463,463.04/75,406.40
  6. Step 6: Final answer
    x = 30,003.60

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1.5x scale

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.