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Finding the Fourth Proportional to 46,658.40, 70,009.20 and 24,496.80

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Solution

The fourth proportional to 46,658.40, 70,009.20 and 24,496.80 is: 36,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,658.40 : 70,009.20 = 24,496.80 : x
  2. Step 2: Convert to fraction form
    46,658.40/70,009.20 = 24,496.80/x
  3. Step 3: Cross multiply
    46,658.40x = 70,009.20 × 24,496.80
  4. Step 4: Simplify right side
    46,658.40x = 1,715,001,370.56
  5. Step 5: Solve for x
    x = 1,715,001,370.56/46,658.40
  6. Step 6: Final answer
    x = 36,756.54

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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.