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Finding the Fourth Proportional to 31,570.32, 47,364.96 and 9,384.48

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Solution

The fourth proportional to 31,570.32, 47,364.96 and 9,384.48 is: 14,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.32 : 47,364.96 = 9,384.48 : x
  2. Step 2: Convert to fraction form
    31,570.32/47,364.96 = 9,384.48/x
  3. Step 3: Cross multiply
    31,570.32x = 47,364.96 × 9,384.48
  4. Step 4: Simplify right side
    31,570.32x = 444,495,519.82
  5. Step 5: Solve for x
    x = 444,495,519.82/31,570.32
  6. Step 6: Final answer
    x = 14,079.54

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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.