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Finding the Fourth Proportional to 32,031.64, 47,852.24 and 30,865.24

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Solution

The fourth proportional to 32,031.64, 47,852.24 and 30,865.24 is: 46,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.64 : 47,852.24 = 30,865.24 : x
  2. Step 2: Convert to fraction form
    32,031.64/47,852.24 = 30,865.24/x
  3. Step 3: Cross multiply
    32,031.64x = 47,852.24 × 30,865.24
  4. Step 4: Simplify right side
    32,031.64x = 1,476,970,872.14
  5. Step 5: Solve for x
    x = 1,476,970,872.14/32,031.64
  6. Step 6: Final answer
    x = 46,109.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.