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Finding the Fourth Proportional to 70,502.30, 105,678.12 and 34,927.10

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Solution

The fourth proportional to 70,502.30, 105,678.12 and 34,927.10 is: 52,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.30 : 105,678.12 = 34,927.10 : x
  2. Step 2: Convert to fraction form
    70,502.30/105,678.12 = 34,927.10/x
  3. Step 3: Cross multiply
    70,502.30x = 105,678.12 × 34,927.10
  4. Step 4: Simplify right side
    70,502.30x = 3,691,030,265.05
  5. Step 5: Solve for x
    x = 3,691,030,265.05/70,502.30
  6. Step 6: Final answer
    x = 52,353.33

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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.