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Finding the Fourth Proportional to 30,881.80, 46,322.70 and 20,902.60

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Solution

The fourth proportional to 30,881.80, 46,322.70 and 20,902.60 is: 31,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.80 : 46,322.70 = 20,902.60 : x
  2. Step 2: Convert to fraction form
    30,881.80/46,322.70 = 20,902.60/x
  3. Step 3: Cross multiply
    30,881.80x = 46,322.70 × 20,902.60
  4. Step 4: Simplify right side
    30,881.80x = 968,264,869.02
  5. Step 5: Solve for x
    x = 968,264,869.02/30,881.80
  6. Step 6: Final answer
    x = 31,353.90

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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.