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Finding the Fourth Proportional to 32,597.08, 48,895.63 and 20,984.11

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Solution

The fourth proportional to 32,597.08, 48,895.63 and 20,984.11 is: 31,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.08 : 48,895.63 = 20,984.11 : x
  2. Step 2: Convert to fraction form
    32,597.08/48,895.63 = 20,984.11/x
  3. Step 3: Cross multiply
    32,597.08x = 48,895.63 × 20,984.11
  4. Step 4: Simplify right side
    32,597.08x = 1,026,031,278.44
  5. Step 5: Solve for x
    x = 1,026,031,278.44/32,597.08
  6. Step 6: Final answer
    x = 31,476.17

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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.