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Finding the Fourth Proportional to 97,911.86, 146,870.98 and 46,609.40

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Solution

The fourth proportional to 97,911.86, 146,870.98 and 46,609.40 is: 69,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,911.86 : 146,870.98 = 46,609.40 : x
  2. Step 2: Convert to fraction form
    97,911.86/146,870.98 = 46,609.40/x
  3. Step 3: Cross multiply
    97,911.86x = 146,870.98 × 46,609.40
  4. Step 4: Simplify right side
    97,911.86x = 6,845,568,255.21
  5. Step 5: Solve for x
    x = 6,845,568,255.21/97,911.86
  6. Step 6: Final answer
    x = 69,915.62

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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.