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Finding the Fourth Proportional to 32,592.34, 48,888.69 and 11,815.30

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Solution

The fourth proportional to 32,592.34, 48,888.69 and 11,815.30 is: 17,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592.34 : 48,888.69 = 11,815.30 : x
  2. Step 2: Convert to fraction form
    32,592.34/48,888.69 = 11,815.30/x
  3. Step 3: Cross multiply
    32,592.34x = 48,888.69 × 11,815.30
  4. Step 4: Simplify right side
    32,592.34x = 577,634,538.96
  5. Step 5: Solve for x
    x = 577,634,538.96/32,592.34
  6. Step 6: Final answer
    x = 17,723.02

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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.