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Finding the Fourth Proportional to 32,411.81, 48,625.92 and 9,038.25

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Solution

The fourth proportional to 32,411.81, 48,625.92 and 9,038.25 is: 13,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.81 : 48,625.92 = 9,038.25 : x
  2. Step 2: Convert to fraction form
    32,411.81/48,625.92 = 9,038.25/x
  3. Step 3: Cross multiply
    32,411.81x = 48,625.92 × 9,038.25
  4. Step 4: Simplify right side
    32,411.81x = 439,493,221.44
  5. Step 5: Solve for x
    x = 439,493,221.44/32,411.81
  6. Step 6: Final answer
    x = 13,559.66

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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.