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Finding the Fourth Proportional to 32,307.12, 48,467.19 and 11,530.08

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Solution

The fourth proportional to 32,307.12, 48,467.19 and 11,530.08 is: 17,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.12 : 48,467.19 = 11,530.08 : x
  2. Step 2: Convert to fraction form
    32,307.12/48,467.19 = 11,530.08/x
  3. Step 3: Cross multiply
    32,307.12x = 48,467.19 × 11,530.08
  4. Step 4: Simplify right side
    32,307.12x = 558,830,578.08
  5. Step 5: Solve for x
    x = 558,830,578.08/32,307.12
  6. Step 6: Final answer
    x = 17,297.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.