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Finding the Fourth Proportional to 56,803.40, 85,205.10 and 31,920.20

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Solution

The fourth proportional to 56,803.40, 85,205.10 and 31,920.20 is: 47,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,803.40 : 85,205.10 = 31,920.20 : x
  2. Step 2: Convert to fraction form
    56,803.40/85,205.10 = 31,920.20/x
  3. Step 3: Cross multiply
    56,803.40x = 85,205.10 × 31,920.20
  4. Step 4: Simplify right side
    56,803.40x = 2,719,763,833.02
  5. Step 5: Solve for x
    x = 2,719,763,833.02/56,803.40
  6. Step 6: Final answer
    x = 47,880.30

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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.