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Finding the Fourth Proportional to 75,470.40, 113,205.60 and 31,082.40

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Solution

The fourth proportional to 75,470.40, 113,205.60 and 31,082.40 is: 46,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,470.40 : 113,205.60 = 31,082.40 : x
  2. Step 2: Convert to fraction form
    75,470.40/113,205.60 = 31,082.40/x
  3. Step 3: Cross multiply
    75,470.40x = 113,205.60 × 31,082.40
  4. Step 4: Simplify right side
    75,470.40x = 3,518,701,741.44
  5. Step 5: Solve for x
    x = 3,518,701,741.44/75,470.40
  6. Step 6: Final answer
    x = 46,623.60

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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.