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Finding the Fourth Proportional to 31,609.16, 47,416.16 and 9,420.84

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Solution

The fourth proportional to 31,609.16, 47,416.16 and 9,420.84 is: 14,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.16 : 47,416.16 = 9,420.84 : x
  2. Step 2: Convert to fraction form
    31,609.16/47,416.16 = 9,420.84/x
  3. Step 3: Cross multiply
    31,609.16x = 47,416.16 × 9,420.84
  4. Step 4: Simplify right side
    31,609.16x = 446,700,056.77
  5. Step 5: Solve for x
    x = 446,700,056.77/31,609.16
  6. Step 6: Final answer
    x = 14,131.98

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1.5x scale

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.