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Finding the Fourth Proportional to 31,411.44, 47,113.68 and 8,038.08

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Solution

The fourth proportional to 31,411.44, 47,113.68 and 8,038.08 is: 12,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.44 : 47,113.68 = 8,038.08 : x
  2. Step 2: Convert to fraction form
    31,411.44/47,113.68 = 8,038.08/x
  3. Step 3: Cross multiply
    31,411.44x = 47,113.68 × 8,038.08
  4. Step 4: Simplify right side
    31,411.44x = 378,703,528.93
  5. Step 5: Solve for x
    x = 378,703,528.93/31,411.44
  6. Step 6: Final answer
    x = 12,056.23

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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.