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Finding the Fourth Proportional to 71,004.24, 98,400.06 and 70,002

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Solution

The fourth proportional to 71,004.24, 98,400.06 and 70,002 is: 97,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004.24 : 98,400.06 = 70,002 : x
  2. Step 2: Convert to fraction form
    71,004.24/98,400.06 = 70,002/x
  3. Step 3: Cross multiply
    71,004.24x = 98,400.06 × 70,002
  4. Step 4: Simplify right side
    71,004.24x = 6,888,201,000.12
  5. Step 5: Solve for x
    x = 6,888,201,000.12/71,004.24
  6. Step 6: Final answer
    x = 97,011.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.