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Finding the Fourth Proportional to 70,205.81, 105,402.14 and 36,949.23

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Solution

The fourth proportional to 70,205.81, 105,402.14 and 36,949.23 is: 55,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,205.81 : 105,402.14 = 36,949.23 : x
  2. Step 2: Convert to fraction form
    70,205.81/105,402.14 = 36,949.23/x
  3. Step 3: Cross multiply
    70,205.81x = 105,402.14 × 36,949.23
  4. Step 4: Simplify right side
    70,205.81x = 3,894,527,728.61
  5. Step 5: Solve for x
    x = 3,894,527,728.61/70,205.81
  6. Step 6: Final answer
    x = 55,473.01

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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.