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Finding the Fourth Proportional to 71,315.40, 106,973.10 and 34,451.40

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Solution

The fourth proportional to 71,315.40, 106,973.10 and 34,451.40 is: 51,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,315.40 : 106,973.10 = 34,451.40 : x
  2. Step 2: Convert to fraction form
    71,315.40/106,973.10 = 34,451.40/x
  3. Step 3: Cross multiply
    71,315.40x = 106,973.10 × 34,451.40
  4. Step 4: Simplify right side
    71,315.40x = 3,685,373,057.34
  5. Step 5: Solve for x
    x = 3,685,373,057.34/71,315.40
  6. Step 6: Final answer
    x = 51,677.10

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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.