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Finding the Fourth Proportional to 32,429.25, 48,643.92 and 7,805.25

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Solution

The fourth proportional to 32,429.25, 48,643.92 and 7,805.25 is: 11,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.25 : 48,643.92 = 7,805.25 : x
  2. Step 2: Convert to fraction form
    32,429.25/48,643.92 = 7,805.25/x
  3. Step 3: Cross multiply
    32,429.25x = 48,643.92 × 7,805.25
  4. Step 4: Simplify right side
    32,429.25x = 379,677,956.58
  5. Step 5: Solve for x
    x = 379,677,956.58/32,429.25
  6. Step 6: Final answer
    x = 11,707.89

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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.