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Finding the Fourth Proportional to 70,768.95, 106,178.96 and 35,682.18

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Solution

The fourth proportional to 70,768.95, 106,178.96 and 35,682.18 is: 53,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768.95 : 106,178.96 = 35,682.18 : x
  2. Step 2: Convert to fraction form
    70,768.95/106,178.96 = 35,682.18/x
  3. Step 3: Cross multiply
    70,768.95x = 106,178.96 × 35,682.18
  4. Step 4: Simplify right side
    70,768.95x = 3,788,696,762.93
  5. Step 5: Solve for x
    x = 3,788,696,762.93/70,768.95
  6. Step 6: Final answer
    x = 53,536.14

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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.