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Finding the Fourth Proportional to 31,604.59, 47,406.87 and 9,417.40

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Solution

The fourth proportional to 31,604.59, 47,406.87 and 9,417.40 is: 14,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.59 : 47,406.87 = 9,417.40 : x
  2. Step 2: Convert to fraction form
    31,604.59/47,406.87 = 9,417.40/x
  3. Step 3: Cross multiply
    31,604.59x = 47,406.87 × 9,417.40
  4. Step 4: Simplify right side
    31,604.59x = 446,449,457.54
  5. Step 5: Solve for x
    x = 446,449,457.54/31,604.59
  6. Step 6: Final answer
    x = 14,126.10

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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.