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Finding the Fourth Proportional to 31,701.51, 47,511.03 and 12,960.12

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Solution

The fourth proportional to 31,701.51, 47,511.03 and 12,960.12 is: 19,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,701.51 : 47,511.03 = 12,960.12 : x
  2. Step 2: Convert to fraction form
    31,701.51/47,511.03 = 12,960.12/x
  3. Step 3: Cross multiply
    31,701.51x = 47,511.03 × 12,960.12
  4. Step 4: Simplify right side
    31,701.51x = 615,748,650.12
  5. Step 5: Solve for x
    x = 615,748,650.12/31,701.51
  6. Step 6: Final answer
    x = 19,423.32

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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.