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Finding the Fourth Proportional to 32,345.62, 48,518.50 and 8,972.14

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Solution

The fourth proportional to 32,345.62, 48,518.50 and 8,972.14 is: 13,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,345.62 : 48,518.50 = 8,972.14 : x
  2. Step 2: Convert to fraction form
    32,345.62/48,518.50 = 8,972.14/x
  3. Step 3: Cross multiply
    32,345.62x = 48,518.50 × 8,972.14
  4. Step 4: Simplify right side
    32,345.62x = 435,314,774.59
  5. Step 5: Solve for x
    x = 435,314,774.59/32,345.62
  6. Step 6: Final answer
    x = 13,458.23

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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.