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Finding the Fourth Proportional to 30,931.70, 42,720.71 and 20,842.64

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Solution

The fourth proportional to 30,931.70, 42,720.71 and 20,842.64 is: 28,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.70 : 42,720.71 = 20,842.64 : x
  2. Step 2: Convert to fraction form
    30,931.70/42,720.71 = 20,842.64/x
  3. Step 3: Cross multiply
    30,931.70x = 42,720.71 × 20,842.64
  4. Step 4: Simplify right side
    30,931.70x = 890,412,061.26
  5. Step 5: Solve for x
    x = 890,412,061.26/30,931.70
  6. Step 6: Final answer
    x = 28,786.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.