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Finding the Fourth Proportional to 70,810.38, 97,706.89 and 40,590.14

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Solution

The fourth proportional to 70,810.38, 97,706.89 and 40,590.14 is: 56,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,810.38 : 97,706.89 = 40,590.14 : x
  2. Step 2: Convert to fraction form
    70,810.38/97,706.89 = 40,590.14/x
  3. Step 3: Cross multiply
    70,810.38x = 97,706.89 × 40,590.14
  4. Step 4: Simplify right side
    70,810.38x = 3,965,936,344.06
  5. Step 5: Solve for x
    x = 3,965,936,344.06/70,810.38
  6. Step 6: Final answer
    x = 56,007.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.