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Finding the Fourth Proportional to 32,483.10, 48,724.65 and 7,859.10

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Solution

The fourth proportional to 32,483.10, 48,724.65 and 7,859.10 is: 11,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.10 : 48,724.65 = 7,859.10 : x
  2. Step 2: Convert to fraction form
    32,483.10/48,724.65 = 7,859.10/x
  3. Step 3: Cross multiply
    32,483.10x = 48,724.65 × 7,859.10
  4. Step 4: Simplify right side
    32,483.10x = 382,931,613.90
  5. Step 5: Solve for x
    x = 382,931,613.90/32,483.10
  6. Step 6: Final answer
    x = 11,788.64

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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.