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Finding the Fourth Proportional to 70,678.86, 106,033.97 and 23,308.63

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Solution

The fourth proportional to 70,678.86, 106,033.97 and 23,308.63 is: 34,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.86 : 106,033.97 = 23,308.63 : x
  2. Step 2: Convert to fraction form
    70,678.86/106,033.97 = 23,308.63/x
  3. Step 3: Cross multiply
    70,678.86x = 106,033.97 × 23,308.63
  4. Step 4: Simplify right side
    70,678.86x = 2,471,506,574.16
  5. Step 5: Solve for x
    x = 2,471,506,574.16/70,678.86
  6. Step 6: Final answer
    x = 34,968.12

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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.