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Finding the Fourth Proportional to 32,583.84, 48,877.92 and 9,208.32

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Solution

The fourth proportional to 32,583.84, 48,877.92 and 9,208.32 is: 13,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.84 : 48,877.92 = 9,208.32 : x
  2. Step 2: Convert to fraction form
    32,583.84/48,877.92 = 9,208.32/x
  3. Step 3: Cross multiply
    32,583.84x = 48,877.92 × 9,208.32
  4. Step 4: Simplify right side
    32,583.84x = 450,083,528.29
  5. Step 5: Solve for x
    x = 450,083,528.29/32,583.84
  6. Step 6: Final answer
    x = 13,813.09

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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.