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Finding the Fourth Proportional to 32,476.26, 48,714.42 and 7,852.26

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Solution

The fourth proportional to 32,476.26, 48,714.42 and 7,852.26 is: 11,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.26 : 48,714.42 = 7,852.26 : x
  2. Step 2: Convert to fraction form
    32,476.26/48,714.42 = 7,852.26/x
  3. Step 3: Cross multiply
    32,476.26x = 48,714.42 × 7,852.26
  4. Step 4: Simplify right side
    32,476.26x = 382,518,291.59
  5. Step 5: Solve for x
    x = 382,518,291.59/32,476.26
  6. Step 6: Final answer
    x = 11,778.40

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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.