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Finding the Fourth Proportional to 70,294.38, 97,008.64 and 40,084.16

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Solution

The fourth proportional to 70,294.38, 97,008.64 and 40,084.16 is: 55,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294.38 : 97,008.64 = 40,084.16 : x
  2. Step 2: Convert to fraction form
    70,294.38/97,008.64 = 40,084.16/x
  3. Step 3: Cross multiply
    70,294.38x = 97,008.64 × 40,084.16
  4. Step 4: Simplify right side
    70,294.38x = 3,888,509,847.14
  5. Step 5: Solve for x
    x = 3,888,509,847.14/70,294.38
  6. Step 6: Final answer
    x = 55,317.51

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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.