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Finding the Fourth Proportional to 70,423.38, 105,562.98 and 30,973.14

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Solution

The fourth proportional to 70,423.38, 105,562.98 and 30,973.14 is: 46,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,423.38 : 105,562.98 = 30,973.14 : x
  2. Step 2: Convert to fraction form
    70,423.38/105,562.98 = 30,973.14/x
  3. Step 3: Cross multiply
    70,423.38x = 105,562.98 × 30,973.14
  4. Step 4: Simplify right side
    70,423.38x = 3,269,616,958.36
  5. Step 5: Solve for x
    x = 3,269,616,958.36/70,423.38
  6. Step 6: Final answer
    x = 46,428.00

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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.