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Finding the Fourth Proportional to 70,650.98, 97,431.42 and 46,409.30

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Solution

The fourth proportional to 70,650.98, 97,431.42 and 46,409.30 is: 64,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,650.98 : 97,431.42 = 46,409.30 : x
  2. Step 2: Convert to fraction form
    70,650.98/97,431.42 = 46,409.30/x
  3. Step 3: Cross multiply
    70,650.98x = 97,431.42 × 46,409.30
  4. Step 4: Simplify right side
    70,650.98x = 4,521,724,000.21
  5. Step 5: Solve for x
    x = 4,521,724,000.21/70,650.98
  6. Step 6: Final answer
    x = 64,000.87

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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.