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Finding the Fourth Proportional to 31,604.16, 47,411.04 and 11,884.08

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Solution

The fourth proportional to 31,604.16, 47,411.04 and 11,884.08 is: 17,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.16 : 47,411.04 = 11,884.08 : x
  2. Step 2: Convert to fraction form
    31,604.16/47,411.04 = 11,884.08/x
  3. Step 3: Cross multiply
    31,604.16x = 47,411.04 × 11,884.08
  4. Step 4: Simplify right side
    31,604.16x = 563,436,592.24
  5. Step 5: Solve for x
    x = 563,436,592.24/31,604.16
  6. Step 6: Final answer
    x = 17,827.92

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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.